1. Examples
1. Find HCF (GCF, GCD) of 30,40 using Listing factors Method
Solution:
Step-1: Lists the factors of `30,40`
Factors of `30=color{red}{bb{1}},color{red}{bb{2}},3,color{red}{bb{5}},6,color{red}{bb{10}},15,30`
Factors of `40=color{red}{bb{1}},color{red}{bb{2}},4,color{red}{bb{5}},8,color{red}{bb{10}},20,40`
Step-2: Find common factors
The numbers that appears in the lists are `color{red}{bb{1,2,5,10}}`
Step-3: Find greatest common factor
The greatest (largest) number is `10`
`:.` GCF of `30,40` is `10`
2. Find HCF (GCF, GCD) of 45,25 using Listing factors Method
Solution:
Step-1: Lists the factors of `45,25`
Factors of `45=color{red}{bb{1}},3,color{red}{bb{5}},9,15,45`
Factors of `25=color{red}{bb{1}},color{red}{bb{5}},25`
Step-2: Find common factors
The numbers that appears in the lists are `color{red}{bb{1,5}}`
Step-3: Find greatest common factor
The greatest (largest) number is `5`
`:.` GCF of `45,25` is `5`
3. Find HCF (GCF, GCD) of 50,120 using Listing factors Method
Solution:
Step-1: Lists the factors of `50,120`
Factors of `50=color{red}{bb{1}},color{red}{bb{2}},color{red}{bb{5}},color{red}{bb{10}},25,50`
Factors of `120=color{red}{bb{1}},color{red}{bb{2}},3,4,color{red}{bb{5}},6,8,color{red}{bb{10}},12,15,20,24,30,40,60,120`
Step-2: Find common factors
The numbers that appears in the lists are `color{red}{bb{1,2,5,10}}`
Step-3: Find greatest common factor
The greatest (largest) number is `10`
`:.` GCF of `50,120` is `10`
4. Find HCF (GCF, GCD) of 400,140 using Listing factors Method
Solution:
Step-1: Lists the factors of `400,140`
Factors of `400=color{red}{bb{1}},color{red}{bb{2}},color{red}{bb{4}},color{red}{bb{5}},8,color{red}{bb{10}},16,color{red}{bb{20}},25,40,50,80,100,200,400`
Factors of `140=color{red}{bb{1}},color{red}{bb{2}},color{red}{bb{4}},color{red}{bb{5}},7,color{red}{bb{10}},14,color{red}{bb{20}},28,35,70,140`
Step-2: Find common factors
The numbers that appears in the lists are `color{red}{bb{1,2,4,5,10,20}}`
Step-3: Find greatest common factor
The greatest (largest) number is `20`
`:.` GCF of `400,140` is `20`
5. Find HCF (GCF, GCD) of 30,40,50,60 using Listing factors Method
Solution:
Step-1: Lists the factors of `30,40,50,60`
Factors of `30=color{red}{bb{1}},color{red}{bb{2}},3,color{red}{bb{5}},6,color{red}{bb{10}},15,30`
Factors of `40=color{red}{bb{1}},color{red}{bb{2}},4,color{red}{bb{5}},8,color{red}{bb{10}},20,40`
Factors of `50=color{red}{bb{1}},color{red}{bb{2}},color{red}{bb{5}},color{red}{bb{10}},25,50`
Factors of `60=color{red}{bb{1}},color{red}{bb{2}},3,4,color{red}{bb{5}},6,color{red}{bb{10}},12,15,20,30,60`
Step-2: Find common factors
The numbers that appears in the lists are `color{red}{bb{1,2,5,10}}`
Step-3: Find greatest common factor
The greatest (largest) number is `10`
`:.` GCF of `30,40,50,60` is `10`
This material is intended as a summary. Use your textbook for detail explanation.
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