Highest Common Factor of 427, 681, 774 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 427, 681, 774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 427, 681, 774 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 427, 681, 774 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 427, 681, 774 is 1.

HCF(427, 681, 774) = 1

HCF of 427, 681, 774 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 427, 681, 774 is 1.

Highest Common Factor of 427,681,774 using Euclid's algorithm

Highest Common Factor of 427,681,774 is 1

Step 1: Since 681 > 427, we apply the division lemma to 681 and 427, to get

681 = 427 x 1 + 254

Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 254 and 427, to get

427 = 254 x 1 + 173

Step 3: We consider the new divisor 254 and the new remainder 173, and apply the division lemma to get

254 = 173 x 1 + 81

We consider the new divisor 173 and the new remainder 81,and apply the division lemma to get

173 = 81 x 2 + 11

We consider the new divisor 81 and the new remainder 11,and apply the division lemma to get

81 = 11 x 7 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 427 and 681 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(81,11) = HCF(173,81) = HCF(254,173) = HCF(427,254) = HCF(681,427) .

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

Step 1: Since 774 > 1, we apply the division lemma to 774 and 1, to get

774 = 1 x 774 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 774 is 1

Notice that 1 = HCF(774,1) .

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Frequently Asked Questions on HCF of 427, 681, 774 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 427, 681, 774?

Answer: HCF of 427, 681, 774 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 427, 681, 774 using Euclid's Algorithm?

Answer: For arbitrary numbers 427, 681, 774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.