Highest Common Factor of 963, 7982, 2748 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 963, 7982, 2748 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 963, 7982, 2748 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 963, 7982, 2748 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 963, 7982, 2748 is 1.

HCF(963, 7982, 2748) = 1

HCF of 963, 7982, 2748 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 963, 7982, 2748 is 1.

Highest Common Factor of 963,7982,2748 using Euclid's algorithm

Highest Common Factor of 963,7982,2748 is 1

Step 1: Since 7982 > 963, we apply the division lemma to 7982 and 963, to get

7982 = 963 x 8 + 278

Step 2: Since the reminder 963 ≠ 0, we apply division lemma to 278 and 963, to get

963 = 278 x 3 + 129

Step 3: We consider the new divisor 278 and the new remainder 129, and apply the division lemma to get

278 = 129 x 2 + 20

We consider the new divisor 129 and the new remainder 20,and apply the division lemma to get

129 = 20 x 6 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 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 963 and 7982 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(129,20) = HCF(278,129) = HCF(963,278) = HCF(7982,963) .

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

Step 1: Since 2748 > 1, we apply the division lemma to 2748 and 1, to get

2748 = 1 x 2748 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2748 is 1

Notice that 1 = HCF(2748,1) .

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Frequently Asked Questions on HCF of 963, 7982, 2748 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 963, 7982, 2748?

Answer: HCF of 963, 7982, 2748 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 963, 7982, 2748 using Euclid's Algorithm?

Answer: For arbitrary numbers 963, 7982, 2748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.