Highest Common Factor of 536, 18601 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 536, 18601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 536, 18601 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 536, 18601 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 536, 18601 is 1.

HCF(536, 18601) = 1

HCF of 536, 18601 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 536, 18601 is 1.

Highest Common Factor of 536,18601 using Euclid's algorithm

Highest Common Factor of 536,18601 is 1

Step 1: Since 18601 > 536, we apply the division lemma to 18601 and 536, to get

18601 = 536 x 34 + 377

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 377 and 536, to get

536 = 377 x 1 + 159

Step 3: We consider the new divisor 377 and the new remainder 159, and apply the division lemma to get

377 = 159 x 2 + 59

We consider the new divisor 159 and the new remainder 59,and apply the division lemma to get

159 = 59 x 2 + 41

We consider the new divisor 59 and the new remainder 41,and apply the division lemma to get

59 = 41 x 1 + 18

We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get

41 = 18 x 2 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 536 and 18601 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(59,41) = HCF(159,59) = HCF(377,159) = HCF(536,377) = HCF(18601,536) .

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Frequently Asked Questions on HCF of 536, 18601 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 536, 18601?

Answer: HCF of 536, 18601 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 536, 18601 using Euclid's Algorithm?

Answer: For arbitrary numbers 536, 18601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.