Highest Common Factor of 755, 953, 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 755, 953, 595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 755, 953, 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 755, 953, 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 755, 953, 595 is 1.

HCF(755, 953, 595) = 1

HCF of 755, 953, 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 755, 953, 595 is 1.

Highest Common Factor of 755,953,595 using Euclid's algorithm

Highest Common Factor of 755,953,595 is 1

Step 1: Since 953 > 755, we apply the division lemma to 953 and 755, to get

953 = 755 x 1 + 198

Step 2: Since the reminder 755 ≠ 0, we apply division lemma to 198 and 755, to get

755 = 198 x 3 + 161

Step 3: We consider the new divisor 198 and the new remainder 161, and apply the division lemma to get

198 = 161 x 1 + 37

We consider the new divisor 161 and the new remainder 37,and apply the division lemma to get

161 = 37 x 4 + 13

We consider the new divisor 37 and the new remainder 13,and apply the division lemma to get

37 = 13 x 2 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 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 755 and 953 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(37,13) = HCF(161,37) = HCF(198,161) = HCF(755,198) = HCF(953,755) .

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

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

595 = 1 x 595 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 595 is 1

Notice that 1 = HCF(595,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 755, 953, 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 755, 953, 595?

Answer: HCF of 755, 953, 595 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 755, 953, 595 using Euclid's Algorithm?

Answer: For arbitrary numbers 755, 953, 595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.