Highest Common Factor of 910, 260 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 910, 260 i.e. 130 the largest integer that leaves a remainder zero for all numbers.

HCF of 910, 260 is 130 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 910, 260 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 910, 260 is 130.

HCF(910, 260) = 130

HCF of 910, 260 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 910, 260 is 130.

Highest Common Factor of 910,260 using Euclid's algorithm

Highest Common Factor of 910,260 is 130

Step 1: Since 910 > 260, we apply the division lemma to 910 and 260, to get

910 = 260 x 3 + 130

Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 130 and 260, to get

260 = 130 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 130, the HCF of 910 and 260 is 130

Notice that 130 = HCF(260,130) = HCF(910,260) .

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Frequently Asked Questions on HCF of 910, 260 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 910, 260?

Answer: HCF of 910, 260 is 130 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 910, 260 using Euclid's Algorithm?

Answer: For arbitrary numbers 910, 260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.