Highest Common Factor of 508, 837 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 508, 837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 508, 837 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 508, 837 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 508, 837 is 1.

HCF(508, 837) = 1

HCF of 508, 837 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 508, 837 is 1.

Highest Common Factor of 508,837 using Euclid's algorithm

Highest Common Factor of 508,837 is 1

Step 1: Since 837 > 508, we apply the division lemma to 837 and 508, to get

837 = 508 x 1 + 329

Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 329 and 508, to get

508 = 329 x 1 + 179

Step 3: We consider the new divisor 329 and the new remainder 179, and apply the division lemma to get

329 = 179 x 1 + 150

We consider the new divisor 179 and the new remainder 150,and apply the division lemma to get

179 = 150 x 1 + 29

We consider the new divisor 150 and the new remainder 29,and apply the division lemma to get

150 = 29 x 5 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 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 508 and 837 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(150,29) = HCF(179,150) = HCF(329,179) = HCF(508,329) = HCF(837,508) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 508, 837 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 508, 837?

Answer: HCF of 508, 837 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 508, 837 using Euclid's Algorithm?

Answer: For arbitrary numbers 508, 837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.