Highest Common Factor of 692, 879, 451 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 692, 879, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 692, 879, 451 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 692, 879, 451 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 692, 879, 451 is 1.

HCF(692, 879, 451) = 1

HCF of 692, 879, 451 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 692, 879, 451 is 1.

Highest Common Factor of 692,879,451 using Euclid's algorithm

Highest Common Factor of 692,879,451 is 1

Step 1: Since 879 > 692, we apply the division lemma to 879 and 692, to get

879 = 692 x 1 + 187

Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 187 and 692, to get

692 = 187 x 3 + 131

Step 3: We consider the new divisor 187 and the new remainder 131, and apply the division lemma to get

187 = 131 x 1 + 56

We consider the new divisor 131 and the new remainder 56,and apply the division lemma to get

131 = 56 x 2 + 19

We consider the new divisor 56 and the new remainder 19,and apply the division lemma to get

56 = 19 x 2 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 692 and 879 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(56,19) = HCF(131,56) = HCF(187,131) = HCF(692,187) = HCF(879,692) .

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

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

451 = 1 x 451 + 0

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

Notice that 1 = HCF(451,1) .

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Frequently Asked Questions on HCF of 692, 879, 451 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 692, 879, 451?

Answer: HCF of 692, 879, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 692, 879, 451 using Euclid's Algorithm?

Answer: For arbitrary numbers 692, 879, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.