Highest Common Factor of 5369, 8576 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 5369, 8576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5369, 8576 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 5369, 8576 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 5369, 8576 is 1.

HCF(5369, 8576) = 1

HCF of 5369, 8576 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 5369, 8576 is 1.

Highest Common Factor of 5369,8576 using Euclid's algorithm

Highest Common Factor of 5369,8576 is 1

Step 1: Since 8576 > 5369, we apply the division lemma to 8576 and 5369, to get

8576 = 5369 x 1 + 3207

Step 2: Since the reminder 5369 ≠ 0, we apply division lemma to 3207 and 5369, to get

5369 = 3207 x 1 + 2162

Step 3: We consider the new divisor 3207 and the new remainder 2162, and apply the division lemma to get

3207 = 2162 x 1 + 1045

We consider the new divisor 2162 and the new remainder 1045,and apply the division lemma to get

2162 = 1045 x 2 + 72

We consider the new divisor 1045 and the new remainder 72,and apply the division lemma to get

1045 = 72 x 14 + 37

We consider the new divisor 72 and the new remainder 37,and apply the division lemma to get

72 = 37 x 1 + 35

We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get

37 = 35 x 1 + 2

We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get

35 = 2 x 17 + 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 5369 and 8576 is 1

Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(72,37) = HCF(1045,72) = HCF(2162,1045) = HCF(3207,2162) = HCF(5369,3207) = HCF(8576,5369) .

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Frequently Asked Questions on HCF of 5369, 8576 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 5369, 8576?

Answer: HCF of 5369, 8576 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5369, 8576 using Euclid's Algorithm?

Answer: For arbitrary numbers 5369, 8576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.