Highest Common Factor of 7859, 6113, 82695 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 7859, 6113, 82695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7859, 6113, 82695 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 7859, 6113, 82695 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 7859, 6113, 82695 is 1.

HCF(7859, 6113, 82695) = 1

HCF of 7859, 6113, 82695 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 7859, 6113, 82695 is 1.

Highest Common Factor of 7859,6113,82695 using Euclid's algorithm

Highest Common Factor of 7859,6113,82695 is 1

Step 1: Since 7859 > 6113, we apply the division lemma to 7859 and 6113, to get

7859 = 6113 x 1 + 1746

Step 2: Since the reminder 6113 ≠ 0, we apply division lemma to 1746 and 6113, to get

6113 = 1746 x 3 + 875

Step 3: We consider the new divisor 1746 and the new remainder 875, and apply the division lemma to get

1746 = 875 x 1 + 871

We consider the new divisor 875 and the new remainder 871,and apply the division lemma to get

875 = 871 x 1 + 4

We consider the new divisor 871 and the new remainder 4,and apply the division lemma to get

871 = 4 x 217 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 7859 and 6113 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(871,4) = HCF(875,871) = HCF(1746,875) = HCF(6113,1746) = HCF(7859,6113) .

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

Step 1: Since 82695 > 1, we apply the division lemma to 82695 and 1, to get

82695 = 1 x 82695 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82695 is 1

Notice that 1 = HCF(82695,1) .

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Frequently Asked Questions on HCF of 7859, 6113, 82695 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 7859, 6113, 82695?

Answer: HCF of 7859, 6113, 82695 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7859, 6113, 82695 using Euclid's Algorithm?

Answer: For arbitrary numbers 7859, 6113, 82695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.