Highest Common Factor of 6063, 7852 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 6063, 7852 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6063, 7852 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 6063, 7852 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 6063, 7852 is 1.

HCF(6063, 7852) = 1

HCF of 6063, 7852 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 6063, 7852 is 1.

Highest Common Factor of 6063,7852 using Euclid's algorithm

Highest Common Factor of 6063,7852 is 1

Step 1: Since 7852 > 6063, we apply the division lemma to 7852 and 6063, to get

7852 = 6063 x 1 + 1789

Step 2: Since the reminder 6063 ≠ 0, we apply division lemma to 1789 and 6063, to get

6063 = 1789 x 3 + 696

Step 3: We consider the new divisor 1789 and the new remainder 696, and apply the division lemma to get

1789 = 696 x 2 + 397

We consider the new divisor 696 and the new remainder 397,and apply the division lemma to get

696 = 397 x 1 + 299

We consider the new divisor 397 and the new remainder 299,and apply the division lemma to get

397 = 299 x 1 + 98

We consider the new divisor 299 and the new remainder 98,and apply the division lemma to get

299 = 98 x 3 + 5

We consider the new divisor 98 and the new remainder 5,and apply the division lemma to get

98 = 5 x 19 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6063 and 7852 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(98,5) = HCF(299,98) = HCF(397,299) = HCF(696,397) = HCF(1789,696) = HCF(6063,1789) = HCF(7852,6063) .

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Frequently Asked Questions on HCF of 6063, 7852 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 6063, 7852?

Answer: HCF of 6063, 7852 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6063, 7852 using Euclid's Algorithm?

Answer: For arbitrary numbers 6063, 7852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.