Highest Common Factor of 451, 4793, 8629 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 451, 4793, 8629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 451, 4793, 8629 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 451, 4793, 8629 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 451, 4793, 8629 is 1.

HCF(451, 4793, 8629) = 1

HCF of 451, 4793, 8629 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 451, 4793, 8629 is 1.

Highest Common Factor of 451,4793,8629 using Euclid's algorithm

Highest Common Factor of 451,4793,8629 is 1

Step 1: Since 4793 > 451, we apply the division lemma to 4793 and 451, to get

4793 = 451 x 10 + 283

Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 283 and 451, to get

451 = 283 x 1 + 168

Step 3: We consider the new divisor 283 and the new remainder 168, and apply the division lemma to get

283 = 168 x 1 + 115

We consider the new divisor 168 and the new remainder 115,and apply the division lemma to get

168 = 115 x 1 + 53

We consider the new divisor 115 and the new remainder 53,and apply the division lemma to get

115 = 53 x 2 + 9

We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get

53 = 9 x 5 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 451 and 4793 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(115,53) = HCF(168,115) = HCF(283,168) = HCF(451,283) = HCF(4793,451) .

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

Step 1: Since 8629 > 1, we apply the division lemma to 8629 and 1, to get

8629 = 1 x 8629 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8629 is 1

Notice that 1 = HCF(8629,1) .

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Frequently Asked Questions on HCF of 451, 4793, 8629 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 451, 4793, 8629?

Answer: HCF of 451, 4793, 8629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 451, 4793, 8629 using Euclid's Algorithm?

Answer: For arbitrary numbers 451, 4793, 8629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.