Highest Common Factor of 3896, 5437 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 3896, 5437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3896, 5437 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 3896, 5437 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 3896, 5437 is 1.

HCF(3896, 5437) = 1

HCF of 3896, 5437 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 3896, 5437 is 1.

Highest Common Factor of 3896,5437 using Euclid's algorithm

Highest Common Factor of 3896,5437 is 1

Step 1: Since 5437 > 3896, we apply the division lemma to 5437 and 3896, to get

5437 = 3896 x 1 + 1541

Step 2: Since the reminder 3896 ≠ 0, we apply division lemma to 1541 and 3896, to get

3896 = 1541 x 2 + 814

Step 3: We consider the new divisor 1541 and the new remainder 814, and apply the division lemma to get

1541 = 814 x 1 + 727

We consider the new divisor 814 and the new remainder 727,and apply the division lemma to get

814 = 727 x 1 + 87

We consider the new divisor 727 and the new remainder 87,and apply the division lemma to get

727 = 87 x 8 + 31

We consider the new divisor 87 and the new remainder 31,and apply the division lemma to get

87 = 31 x 2 + 25

We consider the new divisor 31 and the new remainder 25,and apply the division lemma to get

31 = 25 x 1 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3896 and 5437 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(31,25) = HCF(87,31) = HCF(727,87) = HCF(814,727) = HCF(1541,814) = HCF(3896,1541) = HCF(5437,3896) .

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Frequently Asked Questions on HCF of 3896, 5437 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 3896, 5437?

Answer: HCF of 3896, 5437 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3896, 5437 using Euclid's Algorithm?

Answer: For arbitrary numbers 3896, 5437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.