Highest Common Factor of 5919, 4657 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 5919, 4657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5919, 4657 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 5919, 4657 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 5919, 4657 is 1.

HCF(5919, 4657) = 1

HCF of 5919, 4657 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 5919, 4657 is 1.

Highest Common Factor of 5919,4657 using Euclid's algorithm

Highest Common Factor of 5919,4657 is 1

Step 1: Since 5919 > 4657, we apply the division lemma to 5919 and 4657, to get

5919 = 4657 x 1 + 1262

Step 2: Since the reminder 4657 ≠ 0, we apply division lemma to 1262 and 4657, to get

4657 = 1262 x 3 + 871

Step 3: We consider the new divisor 1262 and the new remainder 871, and apply the division lemma to get

1262 = 871 x 1 + 391

We consider the new divisor 871 and the new remainder 391,and apply the division lemma to get

871 = 391 x 2 + 89

We consider the new divisor 391 and the new remainder 89,and apply the division lemma to get

391 = 89 x 4 + 35

We consider the new divisor 89 and the new remainder 35,and apply the division lemma to get

89 = 35 x 2 + 19

We consider the new divisor 35 and the new remainder 19,and apply the division lemma to get

35 = 19 x 1 + 16

We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get

19 = 16 x 1 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5919 and 4657 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(35,19) = HCF(89,35) = HCF(391,89) = HCF(871,391) = HCF(1262,871) = HCF(4657,1262) = HCF(5919,4657) .

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Frequently Asked Questions on HCF of 5919, 4657 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 5919, 4657?

Answer: HCF of 5919, 4657 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5919, 4657 using Euclid's Algorithm?

Answer: For arbitrary numbers 5919, 4657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.