Highest Common Factor of 9614, 6546, 90411 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 9614, 6546, 90411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9614, 6546, 90411 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 9614, 6546, 90411 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 9614, 6546, 90411 is 1.

HCF(9614, 6546, 90411) = 1

HCF of 9614, 6546, 90411 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 9614, 6546, 90411 is 1.

Highest Common Factor of 9614,6546,90411 using Euclid's algorithm

Highest Common Factor of 9614,6546,90411 is 1

Step 1: Since 9614 > 6546, we apply the division lemma to 9614 and 6546, to get

9614 = 6546 x 1 + 3068

Step 2: Since the reminder 6546 ≠ 0, we apply division lemma to 3068 and 6546, to get

6546 = 3068 x 2 + 410

Step 3: We consider the new divisor 3068 and the new remainder 410, and apply the division lemma to get

3068 = 410 x 7 + 198

We consider the new divisor 410 and the new remainder 198,and apply the division lemma to get

410 = 198 x 2 + 14

We consider the new divisor 198 and the new remainder 14,and apply the division lemma to get

198 = 14 x 14 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9614 and 6546 is 2

Notice that 2 = HCF(14,2) = HCF(198,14) = HCF(410,198) = HCF(3068,410) = HCF(6546,3068) = HCF(9614,6546) .

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

Step 1: Since 90411 > 2, we apply the division lemma to 90411 and 2, to get

90411 = 2 x 45205 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 90411 is 1

Notice that 1 = HCF(2,1) = HCF(90411,2) .

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Frequently Asked Questions on HCF of 9614, 6546, 90411 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 9614, 6546, 90411?

Answer: HCF of 9614, 6546, 90411 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9614, 6546, 90411 using Euclid's Algorithm?

Answer: For arbitrary numbers 9614, 6546, 90411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.