Highest Common Factor of 671, 518, 536 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 671, 518, 536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 671, 518, 536 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 671, 518, 536 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 671, 518, 536 is 1.

HCF(671, 518, 536) = 1

HCF of 671, 518, 536 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 671, 518, 536 is 1.

Highest Common Factor of 671,518,536 using Euclid's algorithm

Highest Common Factor of 671,518,536 is 1

Step 1: Since 671 > 518, we apply the division lemma to 671 and 518, to get

671 = 518 x 1 + 153

Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 153 and 518, to get

518 = 153 x 3 + 59

Step 3: We consider the new divisor 153 and the new remainder 59, and apply the division lemma to get

153 = 59 x 2 + 35

We consider the new divisor 59 and the new remainder 35,and apply the division lemma to get

59 = 35 x 1 + 24

We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get

35 = 24 x 1 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 671 and 518 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(59,35) = HCF(153,59) = HCF(518,153) = HCF(671,518) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

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

536 = 1 x 536 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 536 is 1

Notice that 1 = HCF(536,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 671, 518, 536 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 671, 518, 536?

Answer: HCF of 671, 518, 536 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 671, 518, 536 using Euclid's Algorithm?

Answer: For arbitrary numbers 671, 518, 536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.