Highest Common Factor of 8567, 5252 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 8567, 5252 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 8567, 5252 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 8567, 5252 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 8567, 5252 is 13.

HCF(8567, 5252) = 13

HCF of 8567, 5252 using Euclid's algorithm

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

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Highest common factor (HCF) of 8567, 5252 is 13.

Highest Common Factor of 8567,5252 using Euclid's algorithm

Highest Common Factor of 8567,5252 is 13

Step 1: Since 8567 > 5252, we apply the division lemma to 8567 and 5252, to get

8567 = 5252 x 1 + 3315

Step 2: Since the reminder 5252 ≠ 0, we apply division lemma to 3315 and 5252, to get

5252 = 3315 x 1 + 1937

Step 3: We consider the new divisor 3315 and the new remainder 1937, and apply the division lemma to get

3315 = 1937 x 1 + 1378

We consider the new divisor 1937 and the new remainder 1378,and apply the division lemma to get

1937 = 1378 x 1 + 559

We consider the new divisor 1378 and the new remainder 559,and apply the division lemma to get

1378 = 559 x 2 + 260

We consider the new divisor 559 and the new remainder 260,and apply the division lemma to get

559 = 260 x 2 + 39

We consider the new divisor 260 and the new remainder 39,and apply the division lemma to get

260 = 39 x 6 + 26

We consider the new divisor 39 and the new remainder 26,and apply the division lemma to get

39 = 26 x 1 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 8567 and 5252 is 13

Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(260,39) = HCF(559,260) = HCF(1378,559) = HCF(1937,1378) = HCF(3315,1937) = HCF(5252,3315) = HCF(8567,5252) .

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Frequently Asked Questions on HCF of 8567, 5252 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 8567, 5252?

Answer: HCF of 8567, 5252 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8567, 5252 using Euclid's Algorithm?

Answer: For arbitrary numbers 8567, 5252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.