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Highest Common Factor of 26, 91 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 26, 91 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 26, 91 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 26, 91 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 26, 91 is 13.

HCF(26, 91) = 13

HCF of 26, 91 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 26, 91 is 13.

Highest Common Factor of 26,91 using Euclid's algorithm

Step 1: Since 91 > 26, we apply the division lemma to 91 and 26, to get

91 = 26 x 3 + 13

Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 13 and 26, 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 26 and 91 is 13

Notice that 13 = HCF(26,13) = HCF(91,26) .

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Frequently Asked Questions on HCF of 26, 91 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 26, 91?

Answer: HCF of 26, 91 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 26, 91 using Euclid's Algorithm?

Answer: For arbitrary numbers 26, 91 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.