Highest Common Factor of 958, 595 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 958, 595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 958, 595 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 958, 595 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 958, 595 is 1.

HCF(958, 595) = 1

HCF of 958, 595 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 958, 595 is 1.

Highest Common Factor of 958,595 using Euclid's algorithm

Highest Common Factor of 958,595 is 1

Step 1: Since 958 > 595, we apply the division lemma to 958 and 595, to get

958 = 595 x 1 + 363

Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 363 and 595, to get

595 = 363 x 1 + 232

Step 3: We consider the new divisor 363 and the new remainder 232, and apply the division lemma to get

363 = 232 x 1 + 131

We consider the new divisor 232 and the new remainder 131,and apply the division lemma to get

232 = 131 x 1 + 101

We consider the new divisor 131 and the new remainder 101,and apply the division lemma to get

131 = 101 x 1 + 30

We consider the new divisor 101 and the new remainder 30,and apply the division lemma to get

101 = 30 x 3 + 11

We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get

30 = 11 x 2 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 958 and 595 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(101,30) = HCF(131,101) = HCF(232,131) = HCF(363,232) = HCF(595,363) = HCF(958,595) .

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Frequently Asked Questions on HCF of 958, 595 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 958, 595?

Answer: HCF of 958, 595 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 958, 595 using Euclid's Algorithm?

Answer: For arbitrary numbers 958, 595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.