Highest Common Factor of 640, 581, 137 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 640, 581, 137 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 640, 581, 137 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 640, 581, 137 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 640, 581, 137 is 1.

HCF(640, 581, 137) = 1

HCF of 640, 581, 137 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 640, 581, 137 is 1.

Highest Common Factor of 640,581,137 using Euclid's algorithm

Highest Common Factor of 640,581,137 is 1

Step 1: Since 640 > 581, we apply the division lemma to 640 and 581, to get

640 = 581 x 1 + 59

Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 59 and 581, to get

581 = 59 x 9 + 50

Step 3: We consider the new divisor 59 and the new remainder 50, and apply the division lemma to get

59 = 50 x 1 + 9

We consider the new divisor 50 and the new remainder 9,and apply the division lemma to get

50 = 9 x 5 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 640 and 581 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(50,9) = HCF(59,50) = HCF(581,59) = HCF(640,581) .

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

Step 1: Since 137 > 1, we apply the division lemma to 137 and 1, to get

137 = 1 x 137 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 137 is 1

Notice that 1 = HCF(137,1) .

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Frequently Asked Questions on HCF of 640, 581, 137 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 640, 581, 137?

Answer: HCF of 640, 581, 137 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 640, 581, 137 using Euclid's Algorithm?

Answer: For arbitrary numbers 640, 581, 137 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.