Highest Common Factor of 5613, 4318 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 5613, 4318 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5613, 4318 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 5613, 4318 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 5613, 4318 is 1.

HCF(5613, 4318) = 1

HCF of 5613, 4318 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 5613, 4318 is 1.

Highest Common Factor of 5613,4318 using Euclid's algorithm

Highest Common Factor of 5613,4318 is 1

Step 1: Since 5613 > 4318, we apply the division lemma to 5613 and 4318, to get

5613 = 4318 x 1 + 1295

Step 2: Since the reminder 4318 ≠ 0, we apply division lemma to 1295 and 4318, to get

4318 = 1295 x 3 + 433

Step 3: We consider the new divisor 1295 and the new remainder 433, and apply the division lemma to get

1295 = 433 x 2 + 429

We consider the new divisor 433 and the new remainder 429,and apply the division lemma to get

433 = 429 x 1 + 4

We consider the new divisor 429 and the new remainder 4,and apply the division lemma to get

429 = 4 x 107 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5613 and 4318 is 1

Notice that 1 = HCF(4,1) = HCF(429,4) = HCF(433,429) = HCF(1295,433) = HCF(4318,1295) = HCF(5613,4318) .

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Frequently Asked Questions on HCF of 5613, 4318 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 5613, 4318?

Answer: HCF of 5613, 4318 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5613, 4318 using Euclid's Algorithm?

Answer: For arbitrary numbers 5613, 4318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.