What is the GCF of 7 and 10?
The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).
Answer: GCF of 7 and 10 is 1
We will explain the two methods to find the GCF of 7 and 10
The two methods that we are using to find the GCF of 7 and 10 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find GCF of 7 and 10 by Listing Common Factors
The factors of 7 and 10 are shown below.
The common factor of 7 and 10 is 1
So, GCF of 7 and 10 is 1
Method 2: Find GCF of 7 and 10 by Long Division
The steps to find the GCF(7, 10) by long division are mentioned below.
Step 1: Divide 10 by 7 and check the remainder. We get the remainder 3.
Step 2: Make the remainder of the above step 3 as the divisor and the divisor of the above step 7 as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and the last divisor is the GCF of 10 and 7
The greatest common factor of 7 and 10 is 1
You can find the GCF in any of the above methods but the solution will be the same.