Highest Common Factor of 506, 76673 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, 76673 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 506, 76673 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, 76673 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, 76673 is 1.

HCF(506, 76673) = 1

HCF of 506, 76673 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, 76673 is 1.

Highest Common Factor of 506,76673 using Euclid's algorithm

Highest Common Factor of 506,76673 is 1

Step 1: Since 76673 > 506, we apply the division lemma to 76673 and 506, to get

76673 = 506 x 151 + 267

Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 267 and 506, to get

506 = 267 x 1 + 239

Step 3: We consider the new divisor 267 and the new remainder 239, and apply the division lemma to get

267 = 239 x 1 + 28

We consider the new divisor 239 and the new remainder 28,and apply the division lemma to get

239 = 28 x 8 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 506 and 76673 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(239,28) = HCF(267,239) = HCF(506,267) = HCF(76673,506) .

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Frequently Asked Questions on HCF of 506, 76673 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, 76673?

Answer: HCF of 506, 76673 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 506, 76673 using Euclid's Algorithm?

Answer: For arbitrary numbers 506, 76673 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.