Highest Common Factor of 645, 247, 691 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 645, 247, 691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 645, 247, 691 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 645, 247, 691 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 645, 247, 691 is 1.

HCF(645, 247, 691) = 1

HCF of 645, 247, 691 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 645, 247, 691 is 1.

Highest Common Factor of 645,247,691 using Euclid's algorithm

Highest Common Factor of 645,247,691 is 1

Step 1: Since 645 > 247, we apply the division lemma to 645 and 247, to get

645 = 247 x 2 + 151

Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 151 and 247, to get

247 = 151 x 1 + 96

Step 3: We consider the new divisor 151 and the new remainder 96, and apply the division lemma to get

151 = 96 x 1 + 55

We consider the new divisor 96 and the new remainder 55,and apply the division lemma to get

96 = 55 x 1 + 41

We consider the new divisor 55 and the new remainder 41,and apply the division lemma to get

55 = 41 x 1 + 14

We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get

41 = 14 x 2 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 645 and 247 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(55,41) = HCF(96,55) = HCF(151,96) = HCF(247,151) = HCF(645,247) .

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

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

691 = 1 x 691 + 0

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

Notice that 1 = HCF(691,1) .

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Frequently Asked Questions on HCF of 645, 247, 691 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 645, 247, 691?

Answer: HCF of 645, 247, 691 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 645, 247, 691 using Euclid's Algorithm?

Answer: For arbitrary numbers 645, 247, 691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.