Highest Common Factor of 610, 926 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 610, 926 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 610, 926 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 610, 926 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 610, 926 is 2.

HCF(610, 926) = 2

HCF of 610, 926 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 610, 926 is 2.

Highest Common Factor of 610,926 using Euclid's algorithm

Highest Common Factor of 610,926 is 2

Step 1: Since 926 > 610, we apply the division lemma to 926 and 610, to get

926 = 610 x 1 + 316

Step 2: Since the reminder 610 ≠ 0, we apply division lemma to 316 and 610, to get

610 = 316 x 1 + 294

Step 3: We consider the new divisor 316 and the new remainder 294, and apply the division lemma to get

316 = 294 x 1 + 22

We consider the new divisor 294 and the new remainder 22,and apply the division lemma to get

294 = 22 x 13 + 8

We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get

22 = 8 x 2 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 610 and 926 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(294,22) = HCF(316,294) = HCF(610,316) = HCF(926,610) .

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Frequently Asked Questions on HCF of 610, 926 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 610, 926?

Answer: HCF of 610, 926 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 610, 926 using Euclid's Algorithm?

Answer: For arbitrary numbers 610, 926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.