Highest Common Factor of 507, 520 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 507, 520 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 507, 520 is 13 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 507, 520 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 507, 520 is 13.

HCF(507, 520) = 13

HCF of 507, 520 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 507, 520 is 13.

Highest Common Factor of 507,520 using Euclid's algorithm

Highest Common Factor of 507,520 is 13

Step 1: Since 520 > 507, we apply the division lemma to 520 and 507, to get

520 = 507 x 1 + 13

Step 2: Since the reminder 507 ≠ 0, we apply division lemma to 13 and 507, to get

507 = 13 x 39 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 507 and 520 is 13

Notice that 13 = HCF(507,13) = HCF(520,507) .

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Frequently Asked Questions on HCF of 507, 520 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 507, 520?

Answer: HCF of 507, 520 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 507, 520 using Euclid's Algorithm?

Answer: For arbitrary numbers 507, 520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.