Highest Common Factor of 627, 992, 124 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 627, 992, 124 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 627, 992, 124 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 627, 992, 124 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 627, 992, 124 is 1.

HCF(627, 992, 124) = 1

HCF of 627, 992, 124 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 627, 992, 124 is 1.

Highest Common Factor of 627,992,124 using Euclid's algorithm

Highest Common Factor of 627,992,124 is 1

Step 1: Since 992 > 627, we apply the division lemma to 992 and 627, to get

992 = 627 x 1 + 365

Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 365 and 627, to get

627 = 365 x 1 + 262

Step 3: We consider the new divisor 365 and the new remainder 262, and apply the division lemma to get

365 = 262 x 1 + 103

We consider the new divisor 262 and the new remainder 103,and apply the division lemma to get

262 = 103 x 2 + 56

We consider the new divisor 103 and the new remainder 56,and apply the division lemma to get

103 = 56 x 1 + 47

We consider the new divisor 56 and the new remainder 47,and apply the division lemma to get

56 = 47 x 1 + 9

We consider the new divisor 47 and the new remainder 9,and apply the division lemma to get

47 = 9 x 5 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 627 and 992 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(47,9) = HCF(56,47) = HCF(103,56) = HCF(262,103) = HCF(365,262) = HCF(627,365) = HCF(992,627) .

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

Step 1: Since 124 > 1, we apply the division lemma to 124 and 1, to get

124 = 1 x 124 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 124 is 1

Notice that 1 = HCF(124,1) .

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Frequently Asked Questions on HCF of 627, 992, 124 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 627, 992, 124?

Answer: HCF of 627, 992, 124 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 627, 992, 124 using Euclid's Algorithm?

Answer: For arbitrary numbers 627, 992, 124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.