Highest Common Factor of 583, 950, 391 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 583, 950, 391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 583, 950, 391 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 583, 950, 391 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 583, 950, 391 is 1.

HCF(583, 950, 391) = 1

HCF of 583, 950, 391 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 583, 950, 391 is 1.

Highest Common Factor of 583,950,391 using Euclid's algorithm

Highest Common Factor of 583,950,391 is 1

Step 1: Since 950 > 583, we apply the division lemma to 950 and 583, to get

950 = 583 x 1 + 367

Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 367 and 583, to get

583 = 367 x 1 + 216

Step 3: We consider the new divisor 367 and the new remainder 216, and apply the division lemma to get

367 = 216 x 1 + 151

We consider the new divisor 216 and the new remainder 151,and apply the division lemma to get

216 = 151 x 1 + 65

We consider the new divisor 151 and the new remainder 65,and apply the division lemma to get

151 = 65 x 2 + 21

We consider the new divisor 65 and the new remainder 21,and apply the division lemma to get

65 = 21 x 3 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 583 and 950 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(65,21) = HCF(151,65) = HCF(216,151) = HCF(367,216) = HCF(583,367) = HCF(950,583) .

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

Step 1: Since 391 > 1, we apply the division lemma to 391 and 1, to get

391 = 1 x 391 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 391 is 1

Notice that 1 = HCF(391,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 583, 950, 391 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 583, 950, 391?

Answer: HCF of 583, 950, 391 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 583, 950, 391 using Euclid's Algorithm?

Answer: For arbitrary numbers 583, 950, 391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.