Highest Common Factor of 551, 764, 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 551, 764, 272 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 551, 764, 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 551, 764, 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 551, 764, 272 is 1.

HCF(551, 764, 272) = 1

HCF of 551, 764, 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 551, 764, 272 is 1.

Highest Common Factor of 551,764,272 using Euclid's algorithm

Highest Common Factor of 551,764,272 is 1

Step 1: Since 764 > 551, we apply the division lemma to 764 and 551, to get

764 = 551 x 1 + 213

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 213 and 551, to get

551 = 213 x 2 + 125

Step 3: We consider the new divisor 213 and the new remainder 125, and apply the division lemma to get

213 = 125 x 1 + 88

We consider the new divisor 125 and the new remainder 88,and apply the division lemma to get

125 = 88 x 1 + 37

We consider the new divisor 88 and the new remainder 37,and apply the division lemma to get

88 = 37 x 2 + 14

We consider the new divisor 37 and the new remainder 14,and apply the division lemma to get

37 = 14 x 2 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 764 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(37,14) = HCF(88,37) = HCF(125,88) = HCF(213,125) = HCF(551,213) = HCF(764,551) .

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 551, 764, 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 551, 764, 272?

Answer: HCF of 551, 764, 272 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 551, 764, 272 using Euclid's Algorithm?

Answer: For arbitrary numbers 551, 764, 272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.