Highest Common Factor of 943, 5477, 7944 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 943, 5477, 7944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 943, 5477, 7944 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 943, 5477, 7944 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 943, 5477, 7944 is 1.

HCF(943, 5477, 7944) = 1

HCF of 943, 5477, 7944 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 943, 5477, 7944 is 1.

Highest Common Factor of 943,5477,7944 using Euclid's algorithm

Highest Common Factor of 943,5477,7944 is 1

Step 1: Since 5477 > 943, we apply the division lemma to 5477 and 943, to get

5477 = 943 x 5 + 762

Step 2: Since the reminder 943 ≠ 0, we apply division lemma to 762 and 943, to get

943 = 762 x 1 + 181

Step 3: We consider the new divisor 762 and the new remainder 181, and apply the division lemma to get

762 = 181 x 4 + 38

We consider the new divisor 181 and the new remainder 38,and apply the division lemma to get

181 = 38 x 4 + 29

We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get

38 = 29 x 1 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 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 943 and 5477 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(181,38) = HCF(762,181) = HCF(943,762) = HCF(5477,943) .

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

Step 1: Since 7944 > 1, we apply the division lemma to 7944 and 1, to get

7944 = 1 x 7944 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7944 is 1

Notice that 1 = HCF(7944,1) .

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Frequently Asked Questions on HCF of 943, 5477, 7944 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 943, 5477, 7944?

Answer: HCF of 943, 5477, 7944 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 943, 5477, 7944 using Euclid's Algorithm?

Answer: For arbitrary numbers 943, 5477, 7944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.