1. Examples
1. Find HCF (GCF, GCD) of 30,40 using Division Method
Solution:
GCF of `30,40`
| Step-1: Divide large number 40 by small number 30 | | | | Step-2: divide `1^(st)` divisor 30 by remainder 10 | | | |
Step-3: The remainder becomes 0, So the last divisor (10) is the GCF
`:.` GCF of `30,40=10`
2. Find HCF (GCF, GCD) of 45,25 using Division Method
Solution:
GCF of `45,25`
| Step-1: Divide large number 45 by small number 25 | | | | Step-2: divide `1^(st)` divisor 25 by remainder 20 | | | | | Step-3: divide `2^(nd)` divisor 20 by remainder 5 | | | | |
Step-4: The remainder becomes 0, So the last divisor (5) is the GCF
`:.` GCF of `45,25=5`
3. Find HCF (GCF, GCD) of 50,120 using Division Method
Solution:
GCF of `50,120`
`:.` GCF of `50,120=10`
4. Find HCF (GCF, GCD) of 400,140 using Division Method
Solution:
GCF of `400,140`
`:.` GCF of `400,140=20`
5. Find HCF (GCF, GCD) of 50,120,15,45 using Division Method
Solution:
GCF of `50,120,15,45`
1. Find GCF of (50,120)
GCF of (50, 120) = 10
2. Now find GCF of 10 and `3^(rd)` number 15
GCF of (10, 15) = 5
3. Now find GCF of 5 and `4^(th)` number 45
GCF of (5, 45) = 5
`:.` GCF of `50,120,15,45=5`
This material is intended as a summary. Use your textbook for detail explanation.
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