Mathematics
Grade6
Easy
Question
What is the G.C.F of 20 and 25?
- 5
- 6
- 7
- 0
Hint:
1. The highest/ greatest factor that is common among 2 or more numbers is known as Greatest Common Factor.
2. To find GCF of 2 or more numbers, we first factorize all the given numbers and then find common factors among the 2 numbers. Then these common factors are multiplied to find the HCF.
The correct answer is: 5
Solution-
Step-1: Factorise the given numbers i.e. 20 & 25-
Factors of 20- 2 * 2 * 5 * 1
Factors of 25- 5 * 5 * 1
Step-2: Find all common factors- 5 & 1
Step-3: Multiply all the common factors the maximum number of times they occur in both the numbers-
= 1 * 5
= 5
Hence, 5 is the HCF of 20 & 25.
Final Answer- 'Option a' i.e. 5.
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