Highest Common Factor of 5289, 3436 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 5289, 3436 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5289, 3436 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 5289, 3436 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 5289, 3436 is 1.

HCF(5289, 3436) = 1

HCF of 5289, 3436 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 5289, 3436 is 1.

Highest Common Factor of 5289,3436 using Euclid's algorithm

Highest Common Factor of 5289,3436 is 1

Step 1: Since 5289 > 3436, we apply the division lemma to 5289 and 3436, to get

5289 = 3436 x 1 + 1853

Step 2: Since the reminder 3436 ≠ 0, we apply division lemma to 1853 and 3436, to get

3436 = 1853 x 1 + 1583

Step 3: We consider the new divisor 1853 and the new remainder 1583, and apply the division lemma to get

1853 = 1583 x 1 + 270

We consider the new divisor 1583 and the new remainder 270,and apply the division lemma to get

1583 = 270 x 5 + 233

We consider the new divisor 270 and the new remainder 233,and apply the division lemma to get

270 = 233 x 1 + 37

We consider the new divisor 233 and the new remainder 37,and apply the division lemma to get

233 = 37 x 6 + 11

We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get

37 = 11 x 3 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5289 and 3436 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(233,37) = HCF(270,233) = HCF(1583,270) = HCF(1853,1583) = HCF(3436,1853) = HCF(5289,3436) .

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Frequently Asked Questions on HCF of 5289, 3436 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 5289, 3436?

Answer: HCF of 5289, 3436 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5289, 3436 using Euclid's Algorithm?

Answer: For arbitrary numbers 5289, 3436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.