Highest Common Factor of 511, 791, 634 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 511, 791, 634 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 511, 791, 634 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 511, 791, 634 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 511, 791, 634 is 1.

HCF(511, 791, 634) = 1

HCF of 511, 791, 634 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 511, 791, 634 is 1.

Highest Common Factor of 511,791,634 using Euclid's algorithm

Highest Common Factor of 511,791,634 is 1

Step 1: Since 791 > 511, we apply the division lemma to 791 and 511, to get

791 = 511 x 1 + 280

Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 280 and 511, to get

511 = 280 x 1 + 231

Step 3: We consider the new divisor 280 and the new remainder 231, and apply the division lemma to get

280 = 231 x 1 + 49

We consider the new divisor 231 and the new remainder 49,and apply the division lemma to get

231 = 49 x 4 + 35

We consider the new divisor 49 and the new remainder 35,and apply the division lemma to get

49 = 35 x 1 + 14

We consider the new divisor 35 and the new remainder 14,and apply the division lemma to get

35 = 14 x 2 + 7

We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 511 and 791 is 7

Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(49,35) = HCF(231,49) = HCF(280,231) = HCF(511,280) = HCF(791,511) .

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

Step 1: Since 634 > 7, we apply the division lemma to 634 and 7, to get

634 = 7 x 90 + 4

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get

7 = 4 x 1 + 3

Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 634 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(634,7) .

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Frequently Asked Questions on HCF of 511, 791, 634 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 511, 791, 634?

Answer: HCF of 511, 791, 634 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 511, 791, 634 using Euclid's Algorithm?

Answer: For arbitrary numbers 511, 791, 634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.