Highest Common Factor of 681, 944, 47 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 681, 944, 47 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 681, 944, 47 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 681, 944, 47 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 681, 944, 47 is 1.

HCF(681, 944, 47) = 1

HCF of 681, 944, 47 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 681, 944, 47 is 1.

Highest Common Factor of 681,944,47 using Euclid's algorithm

Highest Common Factor of 681,944,47 is 1

Step 1: Since 944 > 681, we apply the division lemma to 944 and 681, to get

944 = 681 x 1 + 263

Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 263 and 681, to get

681 = 263 x 2 + 155

Step 3: We consider the new divisor 263 and the new remainder 155, and apply the division lemma to get

263 = 155 x 1 + 108

We consider the new divisor 155 and the new remainder 108,and apply the division lemma to get

155 = 108 x 1 + 47

We consider the new divisor 108 and the new remainder 47,and apply the division lemma to get

108 = 47 x 2 + 14

We consider the new divisor 47 and the new remainder 14,and apply the division lemma to get

47 = 14 x 3 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 681 and 944 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(47,14) = HCF(108,47) = HCF(155,108) = HCF(263,155) = HCF(681,263) = HCF(944,681) .

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

Step 1: Since 47 > 1, we apply the division lemma to 47 and 1, to get

47 = 1 x 47 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47 is 1

Notice that 1 = HCF(47,1) .

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Frequently Asked Questions on HCF of 681, 944, 47 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 681, 944, 47?

Answer: HCF of 681, 944, 47 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 681, 944, 47 using Euclid's Algorithm?

Answer: For arbitrary numbers 681, 944, 47 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.