Highest Common Factor of 638, 362, 892 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 638, 362, 892 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 638, 362, 892 is 2 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 638, 362, 892 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 638, 362, 892 is 2.

HCF(638, 362, 892) = 2

HCF of 638, 362, 892 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 638, 362, 892 is 2.

Highest Common Factor of 638,362,892 using Euclid's algorithm

Highest Common Factor of 638,362,892 is 2

Step 1: Since 638 > 362, we apply the division lemma to 638 and 362, to get

638 = 362 x 1 + 276

Step 2: Since the reminder 362 ≠ 0, we apply division lemma to 276 and 362, to get

362 = 276 x 1 + 86

Step 3: We consider the new divisor 276 and the new remainder 86, and apply the division lemma to get

276 = 86 x 3 + 18

We consider the new divisor 86 and the new remainder 18,and apply the division lemma to get

86 = 18 x 4 + 14

We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get

18 = 14 x 1 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 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 638 and 362 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(86,18) = HCF(276,86) = HCF(362,276) = HCF(638,362) .

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

Step 1: Since 892 > 2, we apply the division lemma to 892 and 2, to get

892 = 2 x 446 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 892 is 2

Notice that 2 = HCF(892,2) .

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Frequently Asked Questions on HCF of 638, 362, 892 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 638, 362, 892?

Answer: HCF of 638, 362, 892 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 638, 362, 892 using Euclid's Algorithm?

Answer: For arbitrary numbers 638, 362, 892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.