Highest Common Factor of 6195, 7549, 74762 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 6195, 7549, 74762 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6195, 7549, 74762 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 6195, 7549, 74762 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 6195, 7549, 74762 is 1.

HCF(6195, 7549, 74762) = 1

HCF of 6195, 7549, 74762 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 6195, 7549, 74762 is 1.

Highest Common Factor of 6195,7549,74762 using Euclid's algorithm

Highest Common Factor of 6195,7549,74762 is 1

Step 1: Since 7549 > 6195, we apply the division lemma to 7549 and 6195, to get

7549 = 6195 x 1 + 1354

Step 2: Since the reminder 6195 ≠ 0, we apply division lemma to 1354 and 6195, to get

6195 = 1354 x 4 + 779

Step 3: We consider the new divisor 1354 and the new remainder 779, and apply the division lemma to get

1354 = 779 x 1 + 575

We consider the new divisor 779 and the new remainder 575,and apply the division lemma to get

779 = 575 x 1 + 204

We consider the new divisor 575 and the new remainder 204,and apply the division lemma to get

575 = 204 x 2 + 167

We consider the new divisor 204 and the new remainder 167,and apply the division lemma to get

204 = 167 x 1 + 37

We consider the new divisor 167 and the new remainder 37,and apply the division lemma to get

167 = 37 x 4 + 19

We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get

37 = 19 x 1 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6195 and 7549 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(167,37) = HCF(204,167) = HCF(575,204) = HCF(779,575) = HCF(1354,779) = HCF(6195,1354) = HCF(7549,6195) .

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

Step 1: Since 74762 > 1, we apply the division lemma to 74762 and 1, to get

74762 = 1 x 74762 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74762 is 1

Notice that 1 = HCF(74762,1) .

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Frequently Asked Questions on HCF of 6195, 7549, 74762 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 6195, 7549, 74762?

Answer: HCF of 6195, 7549, 74762 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6195, 7549, 74762 using Euclid's Algorithm?

Answer: For arbitrary numbers 6195, 7549, 74762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.