Highest Common Factor of 406, 2675, 2883 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 406, 2675, 2883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 406, 2675, 2883 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 406, 2675, 2883 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 406, 2675, 2883 is 1.

HCF(406, 2675, 2883) = 1

HCF of 406, 2675, 2883 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 406, 2675, 2883 is 1.

Highest Common Factor of 406,2675,2883 using Euclid's algorithm

Highest Common Factor of 406,2675,2883 is 1

Step 1: Since 2675 > 406, we apply the division lemma to 2675 and 406, to get

2675 = 406 x 6 + 239

Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 239 and 406, to get

406 = 239 x 1 + 167

Step 3: We consider the new divisor 239 and the new remainder 167, and apply the division lemma to get

239 = 167 x 1 + 72

We consider the new divisor 167 and the new remainder 72,and apply the division lemma to get

167 = 72 x 2 + 23

We consider the new divisor 72 and the new remainder 23,and apply the division lemma to get

72 = 23 x 3 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 406 and 2675 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(72,23) = HCF(167,72) = HCF(239,167) = HCF(406,239) = HCF(2675,406) .

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

Step 1: Since 2883 > 1, we apply the division lemma to 2883 and 1, to get

2883 = 1 x 2883 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2883 is 1

Notice that 1 = HCF(2883,1) .

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Frequently Asked Questions on HCF of 406, 2675, 2883 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 406, 2675, 2883?

Answer: HCF of 406, 2675, 2883 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 406, 2675, 2883 using Euclid's Algorithm?

Answer: For arbitrary numbers 406, 2675, 2883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.