Highest Common Factor of 590, 761, 127, 316 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 590, 761, 127, 316 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 590, 761, 127, 316 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 590, 761, 127, 316 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 590, 761, 127, 316 is 1.

HCF(590, 761, 127, 316) = 1

HCF of 590, 761, 127, 316 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 590, 761, 127, 316 is 1.

Highest Common Factor of 590,761,127,316 using Euclid's algorithm

Highest Common Factor of 590,761,127,316 is 1

Step 1: Since 761 > 590, we apply the division lemma to 761 and 590, to get

761 = 590 x 1 + 171

Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 171 and 590, to get

590 = 171 x 3 + 77

Step 3: We consider the new divisor 171 and the new remainder 77, and apply the division lemma to get

171 = 77 x 2 + 17

We consider the new divisor 77 and the new remainder 17,and apply the division lemma to get

77 = 17 x 4 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 590 and 761 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(77,17) = HCF(171,77) = HCF(590,171) = HCF(761,590) .


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

Step 1: Since 127 > 1, we apply the division lemma to 127 and 1, to get

127 = 1 x 127 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 127 is 1

Notice that 1 = HCF(127,1) .


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

Step 1: Since 316 > 1, we apply the division lemma to 316 and 1, to get

316 = 1 x 316 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 316 is 1

Notice that 1 = HCF(316,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 590, 761, 127, 316 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 590, 761, 127, 316?

Answer: HCF of 590, 761, 127, 316 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 590, 761, 127, 316 using Euclid's Algorithm?

Answer: For arbitrary numbers 590, 761, 127, 316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.