Highest Common Factor of 95, 874, 357 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 95, 874, 357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 95, 874, 357 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 95, 874, 357 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 95, 874, 357 is 1.

HCF(95, 874, 357) = 1

HCF of 95, 874, 357 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 95, 874, 357 is 1.

Highest Common Factor of 95,874,357 using Euclid's algorithm

Highest Common Factor of 95,874,357 is 1

Step 1: Since 874 > 95, we apply the division lemma to 874 and 95, to get

874 = 95 x 9 + 19

Step 2: Since the reminder 95 ≠ 0, we apply division lemma to 19 and 95, to get

95 = 19 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 95 and 874 is 19

Notice that 19 = HCF(95,19) = HCF(874,95) .

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

Step 1: Since 357 > 19, we apply the division lemma to 357 and 19, to get

357 = 19 x 18 + 15

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 15 and 19, to get

19 = 15 x 1 + 4

Step 3: We consider the new divisor 15 and the new remainder 4, and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 357 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(357,19) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 95, 874, 357 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 95, 874, 357?

Answer: HCF of 95, 874, 357 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 95, 874, 357 using Euclid's Algorithm?

Answer: For arbitrary numbers 95, 874, 357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.