Highest Common Factor of 466, 638, 847 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 466, 638, 847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 466, 638, 847 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 466, 638, 847 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 466, 638, 847 is 1.

HCF(466, 638, 847) = 1

HCF of 466, 638, 847 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 466, 638, 847 is 1.

Highest Common Factor of 466,638,847 using Euclid's algorithm

Highest Common Factor of 466,638,847 is 1

Step 1: Since 638 > 466, we apply the division lemma to 638 and 466, to get

638 = 466 x 1 + 172

Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 172 and 466, to get

466 = 172 x 2 + 122

Step 3: We consider the new divisor 172 and the new remainder 122, and apply the division lemma to get

172 = 122 x 1 + 50

We consider the new divisor 122 and the new remainder 50,and apply the division lemma to get

122 = 50 x 2 + 22

We consider the new divisor 50 and the new remainder 22,and apply the division lemma to get

50 = 22 x 2 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 466 and 638 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(50,22) = HCF(122,50) = HCF(172,122) = HCF(466,172) = HCF(638,466) .

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

Step 1: Since 847 > 2, we apply the division lemma to 847 and 2, to get

847 = 2 x 423 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 847 is 1

Notice that 1 = HCF(2,1) = HCF(847,2) .

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Frequently Asked Questions on HCF of 466, 638, 847 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 466, 638, 847?

Answer: HCF of 466, 638, 847 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 466, 638, 847 using Euclid's Algorithm?

Answer: For arbitrary numbers 466, 638, 847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.