HCF of 8,9,25 is what?
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Step-by-step explanation:
8 =1 x 2 x 2 x 2
9 =1 x 3 x 3
25=1 x 5 x 5
HCF =1
LCM = 1 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 1800
Given:
Three numbers 8, 9 and 25.
To find:
The HCF of the given numbers.
Solution:
To solve the question, first of all, we need to know that the HCF of two or more numbers a and b is equal to the highest common factor of both numbers.
So, proceeding to the question, we have three numbers 8, 9 and 25.
We make the prime factors of the given numbers one by one.
prime factors of 8 = 1 × 2 × 2 × 2
prime factors of 9 = 1 × 3 × 3
prime factors of 25 = 1 × 5 × 5
Thus, we can see that there is only one common factor between the 8, 9 and 25 which is 1.
Hence, the HCF of 8, 9 and 25 is 1.