Highest Common Factor of 311, 486, 675 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 311, 486, 675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 311, 486, 675 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 311, 486, 675 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 311, 486, 675 is 1.

HCF(311, 486, 675) = 1

HCF of 311, 486, 675 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 311, 486, 675 is 1.

Highest Common Factor of 311,486,675 using Euclid's algorithm

Highest Common Factor of 311,486,675 is 1

Step 1: Since 486 > 311, we apply the division lemma to 486 and 311, to get

486 = 311 x 1 + 175

Step 2: Since the reminder 311 ≠ 0, we apply division lemma to 175 and 311, to get

311 = 175 x 1 + 136

Step 3: We consider the new divisor 175 and the new remainder 136, and apply the division lemma to get

175 = 136 x 1 + 39

We consider the new divisor 136 and the new remainder 39,and apply the division lemma to get

136 = 39 x 3 + 19

We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get

39 = 19 x 2 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 311 and 486 is 1

Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(136,39) = HCF(175,136) = HCF(311,175) = HCF(486,311) .

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

Step 1: Since 675 > 1, we apply the division lemma to 675 and 1, to get

675 = 1 x 675 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 675 is 1

Notice that 1 = HCF(675,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 311, 486, 675 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 311, 486, 675?

Answer: HCF of 311, 486, 675 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 311, 486, 675 using Euclid's Algorithm?

Answer: For arbitrary numbers 311, 486, 675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.