Highest Common Factor of 718, 275, 154 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 718, 275, 154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 718, 275, 154 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 718, 275, 154 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 718, 275, 154 is 1.

HCF(718, 275, 154) = 1

HCF of 718, 275, 154 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 718, 275, 154 is 1.

Highest Common Factor of 718,275,154 using Euclid's algorithm

Highest Common Factor of 718,275,154 is 1

Step 1: Since 718 > 275, we apply the division lemma to 718 and 275, to get

718 = 275 x 2 + 168

Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 168 and 275, to get

275 = 168 x 1 + 107

Step 3: We consider the new divisor 168 and the new remainder 107, and apply the division lemma to get

168 = 107 x 1 + 61

We consider the new divisor 107 and the new remainder 61,and apply the division lemma to get

107 = 61 x 1 + 46

We consider the new divisor 61 and the new remainder 46,and apply the division lemma to get

61 = 46 x 1 + 15

We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get

46 = 15 x 3 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 718 and 275 is 1

Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(61,46) = HCF(107,61) = HCF(168,107) = HCF(275,168) = HCF(718,275) .

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

Step 1: Since 154 > 1, we apply the division lemma to 154 and 1, to get

154 = 1 x 154 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 154 is 1

Notice that 1 = HCF(154,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 718, 275, 154 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 718, 275, 154?

Answer: HCF of 718, 275, 154 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 718, 275, 154 using Euclid's Algorithm?

Answer: For arbitrary numbers 718, 275, 154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.