Highest Common Factor of 7732, 6063 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 7732, 6063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7732, 6063 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 7732, 6063 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 7732, 6063 is 1.

HCF(7732, 6063) = 1

HCF of 7732, 6063 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 7732, 6063 is 1.

Highest Common Factor of 7732,6063 using Euclid's algorithm

Highest Common Factor of 7732,6063 is 1

Step 1: Since 7732 > 6063, we apply the division lemma to 7732 and 6063, to get

7732 = 6063 x 1 + 1669

Step 2: Since the reminder 6063 ≠ 0, we apply division lemma to 1669 and 6063, to get

6063 = 1669 x 3 + 1056

Step 3: We consider the new divisor 1669 and the new remainder 1056, and apply the division lemma to get

1669 = 1056 x 1 + 613

We consider the new divisor 1056 and the new remainder 613,and apply the division lemma to get

1056 = 613 x 1 + 443

We consider the new divisor 613 and the new remainder 443,and apply the division lemma to get

613 = 443 x 1 + 170

We consider the new divisor 443 and the new remainder 170,and apply the division lemma to get

443 = 170 x 2 + 103

We consider the new divisor 170 and the new remainder 103,and apply the division lemma to get

170 = 103 x 1 + 67

We consider the new divisor 103 and the new remainder 67,and apply the division lemma to get

103 = 67 x 1 + 36

We consider the new divisor 67 and the new remainder 36,and apply the division lemma to get

67 = 36 x 1 + 31

We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get

36 = 31 x 1 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7732 and 6063 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(67,36) = HCF(103,67) = HCF(170,103) = HCF(443,170) = HCF(613,443) = HCF(1056,613) = HCF(1669,1056) = HCF(6063,1669) = HCF(7732,6063) .

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Frequently Asked Questions on HCF of 7732, 6063 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 7732, 6063?

Answer: HCF of 7732, 6063 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7732, 6063 using Euclid's Algorithm?

Answer: For arbitrary numbers 7732, 6063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.