Highest Common Factor of 493, 363, 507 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 493, 363, 507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 493, 363, 507 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 493, 363, 507 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 493, 363, 507 is 1.

HCF(493, 363, 507) = 1

HCF of 493, 363, 507 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 493, 363, 507 is 1.

Highest Common Factor of 493,363,507 using Euclid's algorithm

Highest Common Factor of 493,363,507 is 1

Step 1: Since 493 > 363, we apply the division lemma to 493 and 363, to get

493 = 363 x 1 + 130

Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 130 and 363, to get

363 = 130 x 2 + 103

Step 3: We consider the new divisor 130 and the new remainder 103, and apply the division lemma to get

130 = 103 x 1 + 27

We consider the new divisor 103 and the new remainder 27,and apply the division lemma to get

103 = 27 x 3 + 22

We consider the new divisor 27 and the new remainder 22,and apply the division lemma to get

27 = 22 x 1 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 493 and 363 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(27,22) = HCF(103,27) = HCF(130,103) = HCF(363,130) = HCF(493,363) .

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

Step 1: Since 507 > 1, we apply the division lemma to 507 and 1, to get

507 = 1 x 507 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 507 is 1

Notice that 1 = HCF(507,1) .

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Frequently Asked Questions on HCF of 493, 363, 507 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 493, 363, 507?

Answer: HCF of 493, 363, 507 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 493, 363, 507 using Euclid's Algorithm?

Answer: For arbitrary numbers 493, 363, 507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.