Highest Common Factor of 4347, 5308 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 4347, 5308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4347, 5308 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 4347, 5308 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 4347, 5308 is 1.

HCF(4347, 5308) = 1

HCF of 4347, 5308 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 4347, 5308 is 1.

Highest Common Factor of 4347,5308 using Euclid's algorithm

Highest Common Factor of 4347,5308 is 1

Step 1: Since 5308 > 4347, we apply the division lemma to 5308 and 4347, to get

5308 = 4347 x 1 + 961

Step 2: Since the reminder 4347 ≠ 0, we apply division lemma to 961 and 4347, to get

4347 = 961 x 4 + 503

Step 3: We consider the new divisor 961 and the new remainder 503, and apply the division lemma to get

961 = 503 x 1 + 458

We consider the new divisor 503 and the new remainder 458,and apply the division lemma to get

503 = 458 x 1 + 45

We consider the new divisor 458 and the new remainder 45,and apply the division lemma to get

458 = 45 x 10 + 8

We consider the new divisor 45 and the new remainder 8,and apply the division lemma to get

45 = 8 x 5 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4347 and 5308 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(45,8) = HCF(458,45) = HCF(503,458) = HCF(961,503) = HCF(4347,961) = HCF(5308,4347) .

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Frequently Asked Questions on HCF of 4347, 5308 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 4347, 5308?

Answer: HCF of 4347, 5308 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4347, 5308 using Euclid's Algorithm?

Answer: For arbitrary numbers 4347, 5308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.