Highest Common Factor of 691, 2547, 3492 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 691, 2547, 3492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 691, 2547, 3492 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 691, 2547, 3492 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 691, 2547, 3492 is 1.

HCF(691, 2547, 3492) = 1

HCF of 691, 2547, 3492 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 691, 2547, 3492 is 1.

Highest Common Factor of 691,2547,3492 using Euclid's algorithm

Highest Common Factor of 691,2547,3492 is 1

Step 1: Since 2547 > 691, we apply the division lemma to 2547 and 691, to get

2547 = 691 x 3 + 474

Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 474 and 691, to get

691 = 474 x 1 + 217

Step 3: We consider the new divisor 474 and the new remainder 217, and apply the division lemma to get

474 = 217 x 2 + 40

We consider the new divisor 217 and the new remainder 40,and apply the division lemma to get

217 = 40 x 5 + 17

We consider the new divisor 40 and the new remainder 17,and apply the division lemma to get

40 = 17 x 2 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 691 and 2547 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(40,17) = HCF(217,40) = HCF(474,217) = HCF(691,474) = HCF(2547,691) .

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

Step 1: Since 3492 > 1, we apply the division lemma to 3492 and 1, to get

3492 = 1 x 3492 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3492 is 1

Notice that 1 = HCF(3492,1) .

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Frequently Asked Questions on HCF of 691, 2547, 3492 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 691, 2547, 3492?

Answer: HCF of 691, 2547, 3492 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 691, 2547, 3492 using Euclid's Algorithm?

Answer: For arbitrary numbers 691, 2547, 3492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.