Highest Common Factor of 506, 837, 24 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 506, 837, 24 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 506, 837, 24 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 506, 837, 24 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 506, 837, 24 is 1.

HCF(506, 837, 24) = 1

HCF of 506, 837, 24 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 506, 837, 24 is 1.

Highest Common Factor of 506,837,24 using Euclid's algorithm

Highest Common Factor of 506,837,24 is 1

Step 1: Since 837 > 506, we apply the division lemma to 837 and 506, to get

837 = 506 x 1 + 331

Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 331 and 506, to get

506 = 331 x 1 + 175

Step 3: We consider the new divisor 331 and the new remainder 175, and apply the division lemma to get

331 = 175 x 1 + 156

We consider the new divisor 175 and the new remainder 156,and apply the division lemma to get

175 = 156 x 1 + 19

We consider the new divisor 156 and the new remainder 19,and apply the division lemma to get

156 = 19 x 8 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 506 and 837 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(156,19) = HCF(175,156) = HCF(331,175) = HCF(506,331) = HCF(837,506) .

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) .

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Frequently Asked Questions on HCF of 506, 837, 24 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 506, 837, 24?

Answer: HCF of 506, 837, 24 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 506, 837, 24 using Euclid's Algorithm?

Answer: For arbitrary numbers 506, 837, 24 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.