Highest Common Factor of 9679, 1282, 72992 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 9679, 1282, 72992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9679, 1282, 72992 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 9679, 1282, 72992 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 9679, 1282, 72992 is 1.

HCF(9679, 1282, 72992) = 1

HCF of 9679, 1282, 72992 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 9679, 1282, 72992 is 1.

Highest Common Factor of 9679,1282,72992 using Euclid's algorithm

Highest Common Factor of 9679,1282,72992 is 1

Step 1: Since 9679 > 1282, we apply the division lemma to 9679 and 1282, to get

9679 = 1282 x 7 + 705

Step 2: Since the reminder 1282 ≠ 0, we apply division lemma to 705 and 1282, to get

1282 = 705 x 1 + 577

Step 3: We consider the new divisor 705 and the new remainder 577, and apply the division lemma to get

705 = 577 x 1 + 128

We consider the new divisor 577 and the new remainder 128,and apply the division lemma to get

577 = 128 x 4 + 65

We consider the new divisor 128 and the new remainder 65,and apply the division lemma to get

128 = 65 x 1 + 63

We consider the new divisor 65 and the new remainder 63,and apply the division lemma to get

65 = 63 x 1 + 2

We consider the new divisor 63 and the new remainder 2,and apply the division lemma to get

63 = 2 x 31 + 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 9679 and 1282 is 1

Notice that 1 = HCF(2,1) = HCF(63,2) = HCF(65,63) = HCF(128,65) = HCF(577,128) = HCF(705,577) = HCF(1282,705) = HCF(9679,1282) .

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

Step 1: Since 72992 > 1, we apply the division lemma to 72992 and 1, to get

72992 = 1 x 72992 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72992 is 1

Notice that 1 = HCF(72992,1) .

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Frequently Asked Questions on HCF of 9679, 1282, 72992 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 9679, 1282, 72992?

Answer: HCF of 9679, 1282, 72992 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9679, 1282, 72992 using Euclid's Algorithm?

Answer: For arbitrary numbers 9679, 1282, 72992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.