what is the H.C.F of 212 and 522
Answers
Answer: HCF(212, 522) = 2
Step-by-step explanation: First, we prime factorize the given numbers, which are 212 and 522.
212 = 53 x 2 x 2 = 53 x 2^2
522 = 29 x 3 x 3 x 2 = 29 x 3^2 x 2
Now, there are some numbers that are not there in the other prime factorization. We make them equal on both sides by adding the number that is not there, but we do it raise to 0. So that its prime factorization does not change.
Now, to find the HCF of the numbers, we take the numbers which have a low degree.
Therefore, HCF of 212 and 522 = 53^0 x 3^0 x 2 x 29^0 = 2
HCF of 212, 522 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 212, 522 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 212, 522 is 2.
HCF(212, 522) = 2...