Highest Common Factor of 759, 593, 557 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 759, 593, 557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 759, 593, 557 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 759, 593, 557 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 759, 593, 557 is 1.

HCF(759, 593, 557) = 1

HCF of 759, 593, 557 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 759, 593, 557 is 1.

Highest Common Factor of 759,593,557 using Euclid's algorithm

Highest Common Factor of 759,593,557 is 1

Step 1: Since 759 > 593, we apply the division lemma to 759 and 593, to get

759 = 593 x 1 + 166

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 166 and 593, to get

593 = 166 x 3 + 95

Step 3: We consider the new divisor 166 and the new remainder 95, and apply the division lemma to get

166 = 95 x 1 + 71

We consider the new divisor 95 and the new remainder 71,and apply the division lemma to get

95 = 71 x 1 + 24

We consider the new divisor 71 and the new remainder 24,and apply the division lemma to get

71 = 24 x 2 + 23

We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get

24 = 23 x 1 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 759 and 593 is 1

Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(71,24) = HCF(95,71) = HCF(166,95) = HCF(593,166) = HCF(759,593) .

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

Step 1: Since 557 > 1, we apply the division lemma to 557 and 1, to get

557 = 1 x 557 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 557 is 1

Notice that 1 = HCF(557,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 759, 593, 557 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 759, 593, 557?

Answer: HCF of 759, 593, 557 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 759, 593, 557 using Euclid's Algorithm?

Answer: For arbitrary numbers 759, 593, 557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.