Highest Common Factor of 581, 372 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 581, 372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 581, 372 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 581, 372 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 581, 372 is 1.

HCF(581, 372) = 1

HCF of 581, 372 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 581, 372 is 1.

Highest Common Factor of 581,372 using Euclid's algorithm

Highest Common Factor of 581,372 is 1

Step 1: Since 581 > 372, we apply the division lemma to 581 and 372, to get

581 = 372 x 1 + 209

Step 2: Since the reminder 372 ≠ 0, we apply division lemma to 209 and 372, to get

372 = 209 x 1 + 163

Step 3: We consider the new divisor 209 and the new remainder 163, and apply the division lemma to get

209 = 163 x 1 + 46

We consider the new divisor 163 and the new remainder 46,and apply the division lemma to get

163 = 46 x 3 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 581 and 372 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(163,46) = HCF(209,163) = HCF(372,209) = HCF(581,372) .

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Frequently Asked Questions on HCF of 581, 372 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 581, 372?

Answer: HCF of 581, 372 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 581, 372 using Euclid's Algorithm?

Answer: For arbitrary numbers 581, 372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.