Highest Common Factor of 6179, 7097 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 6179, 7097 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6179, 7097 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 6179, 7097 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 6179, 7097 is 1.

HCF(6179, 7097) = 1

HCF of 6179, 7097 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 6179, 7097 is 1.

Highest Common Factor of 6179,7097 using Euclid's algorithm

Highest Common Factor of 6179,7097 is 1

Step 1: Since 7097 > 6179, we apply the division lemma to 7097 and 6179, to get

7097 = 6179 x 1 + 918

Step 2: Since the reminder 6179 ≠ 0, we apply division lemma to 918 and 6179, to get

6179 = 918 x 6 + 671

Step 3: We consider the new divisor 918 and the new remainder 671, and apply the division lemma to get

918 = 671 x 1 + 247

We consider the new divisor 671 and the new remainder 247,and apply the division lemma to get

671 = 247 x 2 + 177

We consider the new divisor 247 and the new remainder 177,and apply the division lemma to get

247 = 177 x 1 + 70

We consider the new divisor 177 and the new remainder 70,and apply the division lemma to get

177 = 70 x 2 + 37

We consider the new divisor 70 and the new remainder 37,and apply the division lemma to get

70 = 37 x 1 + 33

We consider the new divisor 37 and the new remainder 33,and apply the division lemma to get

37 = 33 x 1 + 4

We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get

33 = 4 x 8 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6179 and 7097 is 1

Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(37,33) = HCF(70,37) = HCF(177,70) = HCF(247,177) = HCF(671,247) = HCF(918,671) = HCF(6179,918) = HCF(7097,6179) .

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Frequently Asked Questions on HCF of 6179, 7097 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 6179, 7097?

Answer: HCF of 6179, 7097 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6179, 7097 using Euclid's Algorithm?

Answer: For arbitrary numbers 6179, 7097 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.