Highest Common Factor of 629, 137, 272 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 629, 137, 272 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 629, 137, 272 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 629, 137, 272 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 629, 137, 272 is 1.

HCF(629, 137, 272) = 1

HCF of 629, 137, 272 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 629, 137, 272 is 1.

Highest Common Factor of 629,137,272 using Euclid's algorithm

Highest Common Factor of 629,137,272 is 1

Step 1: Since 629 > 137, we apply the division lemma to 629 and 137, to get

629 = 137 x 4 + 81

Step 2: Since the reminder 137 ≠ 0, we apply division lemma to 81 and 137, to get

137 = 81 x 1 + 56

Step 3: We consider the new divisor 81 and the new remainder 56, and apply the division lemma to get

81 = 56 x 1 + 25

We consider the new divisor 56 and the new remainder 25,and apply the division lemma to get

56 = 25 x 2 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 629 and 137 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(56,25) = HCF(81,56) = HCF(137,81) = HCF(629,137) .

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

Step 1: Since 272 > 1, we apply the division lemma to 272 and 1, to get

272 = 1 x 272 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 272 is 1

Notice that 1 = HCF(272,1) .

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Frequently Asked Questions on HCF of 629, 137, 272 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 629, 137, 272?

Answer: HCF of 629, 137, 272 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 629, 137, 272 using Euclid's Algorithm?

Answer: For arbitrary numbers 629, 137, 272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.