Highest Common Factor of 4633, 6516 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 4633, 6516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4633, 6516 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 4633, 6516 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 4633, 6516 is 1.

HCF(4633, 6516) = 1

HCF of 4633, 6516 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 4633, 6516 is 1.

Highest Common Factor of 4633,6516 using Euclid's algorithm

Highest Common Factor of 4633,6516 is 1

Step 1: Since 6516 > 4633, we apply the division lemma to 6516 and 4633, to get

6516 = 4633 x 1 + 1883

Step 2: Since the reminder 4633 ≠ 0, we apply division lemma to 1883 and 4633, to get

4633 = 1883 x 2 + 867

Step 3: We consider the new divisor 1883 and the new remainder 867, and apply the division lemma to get

1883 = 867 x 2 + 149

We consider the new divisor 867 and the new remainder 149,and apply the division lemma to get

867 = 149 x 5 + 122

We consider the new divisor 149 and the new remainder 122,and apply the division lemma to get

149 = 122 x 1 + 27

We consider the new divisor 122 and the new remainder 27,and apply the division lemma to get

122 = 27 x 4 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4633 and 6516 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(122,27) = HCF(149,122) = HCF(867,149) = HCF(1883,867) = HCF(4633,1883) = HCF(6516,4633) .

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Frequently Asked Questions on HCF of 4633, 6516 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 4633, 6516?

Answer: HCF of 4633, 6516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4633, 6516 using Euclid's Algorithm?

Answer: For arbitrary numbers 4633, 6516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.