Highest Common Factor of 376, 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 376, 260 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 376, 260 is 4 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 376, 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 376, 260 is 4.

HCF(376, 260) = 4

HCF of 376, 260 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 376, 260 is 4.

Highest Common Factor of 376,260 using Euclid's algorithm

Highest Common Factor of 376,260 is 4

Step 1: Since 376 > 260, we apply the division lemma to 376 and 260, to get

376 = 260 x 1 + 116

Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 116 and 260, to get

260 = 116 x 2 + 28

Step 3: We consider the new divisor 116 and the new remainder 28, and apply the division lemma to get

116 = 28 x 4 + 4

We consider the new divisor 28 and the new remainder 4, and apply the division lemma to get

28 = 4 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 376 and 260 is 4

Notice that 4 = HCF(28,4) = HCF(116,28) = HCF(260,116) = HCF(376,260) .

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Frequently Asked Questions on HCF of 376, 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 376, 260?

Answer: HCF of 376, 260 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 376, 260 using Euclid's Algorithm?

Answer: For arbitrary numbers 376, 260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.