1. Find HCF (GCF, GCD) of 30,40 using Repeated Division Method
Solution:
Step 1: Divide the given numbers by the smallest common prime factor until there is no more common prime factor
Step-2: Multiply all the divisors to obtain the GCD
GCD of `30,40=2 xx 5=10`
2. Find HCF (GCF, GCD) of 50,120 using Repeated Division Method
Solution:
Step 1: Divide the given numbers by the smallest common prime factor until there is no more common prime factor
Step-2: Multiply all the divisors to obtain the GCD
GCD of `50,120=2 xx 5=10`
3. Find HCF (GCF, GCD) of 400,140 using Repeated Division Method
Solution:
Step 1: Divide the given numbers by the smallest common prime factor until there is no more common prime factor
Step-2: Multiply all the divisors to obtain the GCD
GCD of `400,140=2 xx 2 xx 5=20`
4. Find HCF (GCF, GCD) of 30,40,50,60 using Repeated Division Method
Solution:
Step 1: Divide the given numbers by the smallest common prime factor until there is no more common prime factor
Step-2: Multiply all the divisors to obtain the GCD
GCD of `30,40,50,60=2 xx 5=10`
5. Find HCF (GCF, GCD) of 24,36,60,84 using Repeated Division Method
Solution:
Step 1: Divide the given numbers by the smallest common prime factor until there is no more common prime factor
| 2 | 24 | | 36 | | 60 | | 84 |
| 2 | 12 | | 18 | | 30 | | 42 |
| 3 | 6 | | 9 | | 15 | | 21 |
| | 2 | | 3 | | 5 | | 7 |
Step-2: Multiply all the divisors to obtain the GCD
GCD of `24,36,60,84=2 xx 2 xx 3=12`
This material is intended as a summary. Use your textbook for detail explanation.
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