Highest Common Factor of 5302, 4269 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 5302, 4269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5302, 4269 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 5302, 4269 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 5302, 4269 is 1.

HCF(5302, 4269) = 1

HCF of 5302, 4269 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 5302, 4269 is 1.

Highest Common Factor of 5302,4269 using Euclid's algorithm

Highest Common Factor of 5302,4269 is 1

Step 1: Since 5302 > 4269, we apply the division lemma to 5302 and 4269, to get

5302 = 4269 x 1 + 1033

Step 2: Since the reminder 4269 ≠ 0, we apply division lemma to 1033 and 4269, to get

4269 = 1033 x 4 + 137

Step 3: We consider the new divisor 1033 and the new remainder 137, and apply the division lemma to get

1033 = 137 x 7 + 74

We consider the new divisor 137 and the new remainder 74,and apply the division lemma to get

137 = 74 x 1 + 63

We consider the new divisor 74 and the new remainder 63,and apply the division lemma to get

74 = 63 x 1 + 11

We consider the new divisor 63 and the new remainder 11,and apply the division lemma to get

63 = 11 x 5 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 5302 and 4269 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(63,11) = HCF(74,63) = HCF(137,74) = HCF(1033,137) = HCF(4269,1033) = HCF(5302,4269) .

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Frequently Asked Questions on HCF of 5302, 4269 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 5302, 4269?

Answer: HCF of 5302, 4269 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5302, 4269 using Euclid's Algorithm?

Answer: For arbitrary numbers 5302, 4269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.