Highest Common Factor of 632, 854, 639 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 632, 854, 639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 632, 854, 639 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 632, 854, 639 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 632, 854, 639 is 1.

HCF(632, 854, 639) = 1

HCF of 632, 854, 639 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 632, 854, 639 is 1.

Highest Common Factor of 632,854,639 using Euclid's algorithm

Highest Common Factor of 632,854,639 is 1

Step 1: Since 854 > 632, we apply the division lemma to 854 and 632, to get

854 = 632 x 1 + 222

Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 222 and 632, to get

632 = 222 x 2 + 188

Step 3: We consider the new divisor 222 and the new remainder 188, and apply the division lemma to get

222 = 188 x 1 + 34

We consider the new divisor 188 and the new remainder 34,and apply the division lemma to get

188 = 34 x 5 + 18

We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get

34 = 18 x 1 + 16

We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get

18 = 16 x 1 + 2

We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 632 and 854 is 2

Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(188,34) = HCF(222,188) = HCF(632,222) = HCF(854,632) .

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

Step 1: Since 639 > 2, we apply the division lemma to 639 and 2, to get

639 = 2 x 319 + 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 639 is 1

Notice that 1 = HCF(2,1) = HCF(639,2) .

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Frequently Asked Questions on HCF of 632, 854, 639 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 632, 854, 639?

Answer: HCF of 632, 854, 639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 632, 854, 639 using Euclid's Algorithm?

Answer: For arbitrary numbers 632, 854, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.