Highest Common Factor of 6598, 9671, 41442 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 6598, 9671, 41442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6598, 9671, 41442 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 6598, 9671, 41442 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 6598, 9671, 41442 is 1.

HCF(6598, 9671, 41442) = 1

HCF of 6598, 9671, 41442 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 6598, 9671, 41442 is 1.

Highest Common Factor of 6598,9671,41442 using Euclid's algorithm

Highest Common Factor of 6598,9671,41442 is 1

Step 1: Since 9671 > 6598, we apply the division lemma to 9671 and 6598, to get

9671 = 6598 x 1 + 3073

Step 2: Since the reminder 6598 ≠ 0, we apply division lemma to 3073 and 6598, to get

6598 = 3073 x 2 + 452

Step 3: We consider the new divisor 3073 and the new remainder 452, and apply the division lemma to get

3073 = 452 x 6 + 361

We consider the new divisor 452 and the new remainder 361,and apply the division lemma to get

452 = 361 x 1 + 91

We consider the new divisor 361 and the new remainder 91,and apply the division lemma to get

361 = 91 x 3 + 88

We consider the new divisor 91 and the new remainder 88,and apply the division lemma to get

91 = 88 x 1 + 3

We consider the new divisor 88 and the new remainder 3,and apply the division lemma to get

88 = 3 x 29 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 6598 and 9671 is 1

Notice that 1 = HCF(3,1) = HCF(88,3) = HCF(91,88) = HCF(361,91) = HCF(452,361) = HCF(3073,452) = HCF(6598,3073) = HCF(9671,6598) .

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

Step 1: Since 41442 > 1, we apply the division lemma to 41442 and 1, to get

41442 = 1 x 41442 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41442 is 1

Notice that 1 = HCF(41442,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6598, 9671, 41442 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 6598, 9671, 41442?

Answer: HCF of 6598, 9671, 41442 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6598, 9671, 41442 using Euclid's Algorithm?

Answer: For arbitrary numbers 6598, 9671, 41442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.