Highest Common Factor of 9516, 3351, 98908 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 9516, 3351, 98908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9516, 3351, 98908 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 9516, 3351, 98908 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 9516, 3351, 98908 is 1.

HCF(9516, 3351, 98908) = 1

HCF of 9516, 3351, 98908 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 9516, 3351, 98908 is 1.

Highest Common Factor of 9516,3351,98908 using Euclid's algorithm

Highest Common Factor of 9516,3351,98908 is 1

Step 1: Since 9516 > 3351, we apply the division lemma to 9516 and 3351, to get

9516 = 3351 x 2 + 2814

Step 2: Since the reminder 3351 ≠ 0, we apply division lemma to 2814 and 3351, to get

3351 = 2814 x 1 + 537

Step 3: We consider the new divisor 2814 and the new remainder 537, and apply the division lemma to get

2814 = 537 x 5 + 129

We consider the new divisor 537 and the new remainder 129,and apply the division lemma to get

537 = 129 x 4 + 21

We consider the new divisor 129 and the new remainder 21,and apply the division lemma to get

129 = 21 x 6 + 3

We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get

21 = 3 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9516 and 3351 is 3

Notice that 3 = HCF(21,3) = HCF(129,21) = HCF(537,129) = HCF(2814,537) = HCF(3351,2814) = HCF(9516,3351) .

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

Step 1: Since 98908 > 3, we apply the division lemma to 98908 and 3, to get

98908 = 3 x 32969 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 98908 is 1

Notice that 1 = HCF(3,1) = HCF(98908,3) .

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Frequently Asked Questions on HCF of 9516, 3351, 98908 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 9516, 3351, 98908?

Answer: HCF of 9516, 3351, 98908 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9516, 3351, 98908 using Euclid's Algorithm?

Answer: For arbitrary numbers 9516, 3351, 98908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.