Highest Common Factor of 581, 155, 24, 275 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, 155, 24, 275 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 581, 155, 24, 275 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, 155, 24, 275 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, 155, 24, 275 is 1.

HCF(581, 155, 24, 275) = 1

HCF of 581, 155, 24, 275 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, 155, 24, 275 is 1.

Highest Common Factor of 581,155,24,275 using Euclid's algorithm

Highest Common Factor of 581,155,24,275 is 1

Step 1: Since 581 > 155, we apply the division lemma to 581 and 155, to get

581 = 155 x 3 + 116

Step 2: Since the reminder 155 ≠ 0, we apply division lemma to 116 and 155, to get

155 = 116 x 1 + 39

Step 3: We consider the new divisor 116 and the new remainder 39, and apply the division lemma to get

116 = 39 x 2 + 38

We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get

39 = 38 x 1 + 1

We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get

38 = 1 x 38 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 581 and 155 is 1

Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(116,39) = HCF(155,116) = HCF(581,155) .


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

Step 1: Since 24 > 1, we apply the division lemma to 24 and 1, to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24 is 1

Notice that 1 = HCF(24,1) .


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

Step 1: Since 275 > 1, we apply the division lemma to 275 and 1, to get

275 = 1 x 275 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 275 is 1

Notice that 1 = HCF(275,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 581, 155, 24, 275 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, 155, 24, 275?

Answer: HCF of 581, 155, 24, 275 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 581, 155, 24, 275 using Euclid's Algorithm?

Answer: For arbitrary numbers 581, 155, 24, 275 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.