Highest Common Factor of 381, 992, 628 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 381, 992, 628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 381, 992, 628 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 381, 992, 628 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 381, 992, 628 is 1.

HCF(381, 992, 628) = 1

HCF of 381, 992, 628 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 381, 992, 628 is 1.

Highest Common Factor of 381,992,628 using Euclid's algorithm

Highest Common Factor of 381,992,628 is 1

Step 1: Since 992 > 381, we apply the division lemma to 992 and 381, to get

992 = 381 x 2 + 230

Step 2: Since the reminder 381 ≠ 0, we apply division lemma to 230 and 381, to get

381 = 230 x 1 + 151

Step 3: We consider the new divisor 230 and the new remainder 151, and apply the division lemma to get

230 = 151 x 1 + 79

We consider the new divisor 151 and the new remainder 79,and apply the division lemma to get

151 = 79 x 1 + 72

We consider the new divisor 79 and the new remainder 72,and apply the division lemma to get

79 = 72 x 1 + 7

We consider the new divisor 72 and the new remainder 7,and apply the division lemma to get

72 = 7 x 10 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 381 and 992 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(72,7) = HCF(79,72) = HCF(151,79) = HCF(230,151) = HCF(381,230) = HCF(992,381) .

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

Step 1: Since 628 > 1, we apply the division lemma to 628 and 1, to get

628 = 1 x 628 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 628 is 1

Notice that 1 = HCF(628,1) .

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Frequently Asked Questions on HCF of 381, 992, 628 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 381, 992, 628?

Answer: HCF of 381, 992, 628 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 381, 992, 628 using Euclid's Algorithm?

Answer: For arbitrary numbers 381, 992, 628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.