Highest Common Factor of 2917, 3293, 26676 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 2917, 3293, 26676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2917, 3293, 26676 is 1 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 2917, 3293, 26676 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 2917, 3293, 26676 is 1.

HCF(2917, 3293, 26676) = 1

HCF of 2917, 3293, 26676 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 2917, 3293, 26676 is 1.

Highest Common Factor of 2917,3293,26676 using Euclid's algorithm

Highest Common Factor of 2917,3293,26676 is 1

Step 1: Since 3293 > 2917, we apply the division lemma to 3293 and 2917, to get

3293 = 2917 x 1 + 376

Step 2: Since the reminder 2917 ≠ 0, we apply division lemma to 376 and 2917, to get

2917 = 376 x 7 + 285

Step 3: We consider the new divisor 376 and the new remainder 285, and apply the division lemma to get

376 = 285 x 1 + 91

We consider the new divisor 285 and the new remainder 91,and apply the division lemma to get

285 = 91 x 3 + 12

We consider the new divisor 91 and the new remainder 12,and apply the division lemma to get

91 = 12 x 7 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2917 and 3293 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(91,12) = HCF(285,91) = HCF(376,285) = HCF(2917,376) = HCF(3293,2917) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 26676 > 1, we apply the division lemma to 26676 and 1, to get

26676 = 1 x 26676 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26676 is 1

Notice that 1 = HCF(26676,1) .

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Frequently Asked Questions on HCF of 2917, 3293, 26676 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 2917, 3293, 26676?

Answer: HCF of 2917, 3293, 26676 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2917, 3293, 26676 using Euclid's Algorithm?

Answer: For arbitrary numbers 2917, 3293, 26676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.