Highest Common Factor of 4615, 5616 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 4615, 5616 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 4615, 5616 is 13 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 4615, 5616 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 4615, 5616 is 13.

HCF(4615, 5616) = 13

HCF of 4615, 5616 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 4615, 5616 is 13.

Highest Common Factor of 4615,5616 using Euclid's algorithm

Highest Common Factor of 4615,5616 is 13

Step 1: Since 5616 > 4615, we apply the division lemma to 5616 and 4615, to get

5616 = 4615 x 1 + 1001

Step 2: Since the reminder 4615 ≠ 0, we apply division lemma to 1001 and 4615, to get

4615 = 1001 x 4 + 611

Step 3: We consider the new divisor 1001 and the new remainder 611, and apply the division lemma to get

1001 = 611 x 1 + 390

We consider the new divisor 611 and the new remainder 390,and apply the division lemma to get

611 = 390 x 1 + 221

We consider the new divisor 390 and the new remainder 221,and apply the division lemma to get

390 = 221 x 1 + 169

We consider the new divisor 221 and the new remainder 169,and apply the division lemma to get

221 = 169 x 1 + 52

We consider the new divisor 169 and the new remainder 52,and apply the division lemma to get

169 = 52 x 3 + 13

We consider the new divisor 52 and the new remainder 13,and apply the division lemma to get

52 = 13 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 4615 and 5616 is 13

Notice that 13 = HCF(52,13) = HCF(169,52) = HCF(221,169) = HCF(390,221) = HCF(611,390) = HCF(1001,611) = HCF(4615,1001) = HCF(5616,4615) .

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Frequently Asked Questions on HCF of 4615, 5616 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 4615, 5616?

Answer: HCF of 4615, 5616 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4615, 5616 using Euclid's Algorithm?

Answer: For arbitrary numbers 4615, 5616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.