Highest Common Factor of 381, 592, 973 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, 592, 973 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 381, 592, 973 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, 592, 973 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, 592, 973 is 1.

HCF(381, 592, 973) = 1

HCF of 381, 592, 973 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, 592, 973 is 1.

Highest Common Factor of 381,592,973 using Euclid's algorithm

Highest Common Factor of 381,592,973 is 1

Step 1: Since 592 > 381, we apply the division lemma to 592 and 381, to get

592 = 381 x 1 + 211

Step 2: Since the reminder 381 ≠ 0, we apply division lemma to 211 and 381, to get

381 = 211 x 1 + 170

Step 3: We consider the new divisor 211 and the new remainder 170, and apply the division lemma to get

211 = 170 x 1 + 41

We consider the new divisor 170 and the new remainder 41,and apply the division lemma to get

170 = 41 x 4 + 6

We consider the new divisor 41 and the new remainder 6,and apply the division lemma to get

41 = 6 x 6 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 381 and 592 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(170,41) = HCF(211,170) = HCF(381,211) = HCF(592,381) .

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

Step 1: Since 973 > 1, we apply the division lemma to 973 and 1, to get

973 = 1 x 973 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 973 is 1

Notice that 1 = HCF(973,1) .

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Frequently Asked Questions on HCF of 381, 592, 973 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, 592, 973?

Answer: HCF of 381, 592, 973 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 381, 592, 973 using Euclid's Algorithm?

Answer: For arbitrary numbers 381, 592, 973 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.