Highest Common Factor of 581, 991 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, 991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 581, 991 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, 991 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, 991 is 1.

HCF(581, 991) = 1

HCF of 581, 991 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, 991 is 1.

Highest Common Factor of 581,991 using Euclid's algorithm

Highest Common Factor of 581,991 is 1

Step 1: Since 991 > 581, we apply the division lemma to 991 and 581, to get

991 = 581 x 1 + 410

Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 410 and 581, to get

581 = 410 x 1 + 171

Step 3: We consider the new divisor 410 and the new remainder 171, and apply the division lemma to get

410 = 171 x 2 + 68

We consider the new divisor 171 and the new remainder 68,and apply the division lemma to get

171 = 68 x 2 + 35

We consider the new divisor 68 and the new remainder 35,and apply the division lemma to get

68 = 35 x 1 + 33

We consider the new divisor 35 and the new remainder 33,and apply the division lemma to get

35 = 33 x 1 + 2

We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get

33 = 2 x 16 + 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 581 and 991 is 1

Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(68,35) = HCF(171,68) = HCF(410,171) = HCF(581,410) = HCF(991,581) .

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Frequently Asked Questions on HCF of 581, 991 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, 991?

Answer: HCF of 581, 991 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 581, 991 using Euclid's Algorithm?

Answer: For arbitrary numbers 581, 991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.