Highest Common Factor of 7095, 8126 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 7095, 8126 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7095, 8126 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 7095, 8126 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 7095, 8126 is 1.

HCF(7095, 8126) = 1

HCF of 7095, 8126 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7095, 8126 is 1.

Highest Common Factor of 7095,8126 using Euclid's algorithm

Highest Common Factor of 7095,8126 is 1

Step 1: Since 8126 > 7095, we apply the division lemma to 8126 and 7095, to get

8126 = 7095 x 1 + 1031

Step 2: Since the reminder 7095 ≠ 0, we apply division lemma to 1031 and 7095, to get

7095 = 1031 x 6 + 909

Step 3: We consider the new divisor 1031 and the new remainder 909, and apply the division lemma to get

1031 = 909 x 1 + 122

We consider the new divisor 909 and the new remainder 122,and apply the division lemma to get

909 = 122 x 7 + 55

We consider the new divisor 122 and the new remainder 55,and apply the division lemma to get

122 = 55 x 2 + 12

We consider the new divisor 55 and the new remainder 12,and apply the division lemma to get

55 = 12 x 4 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 7095 and 8126 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(55,12) = HCF(122,55) = HCF(909,122) = HCF(1031,909) = HCF(7095,1031) = HCF(8126,7095) .

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Frequently Asked Questions on HCF of 7095, 8126 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 7095, 8126?

Answer: HCF of 7095, 8126 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7095, 8126 using Euclid's Algorithm?

Answer: For arbitrary numbers 7095, 8126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.