Highest Common Factor of 630, 215, 543 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 630, 215, 543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 630, 215, 543 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 630, 215, 543 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 630, 215, 543 is 1.

HCF(630, 215, 543) = 1

HCF of 630, 215, 543 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 630, 215, 543 is 1.

Highest Common Factor of 630,215,543 using Euclid's algorithm

Highest Common Factor of 630,215,543 is 1

Step 1: Since 630 > 215, we apply the division lemma to 630 and 215, to get

630 = 215 x 2 + 200

Step 2: Since the reminder 215 ≠ 0, we apply division lemma to 200 and 215, to get

215 = 200 x 1 + 15

Step 3: We consider the new divisor 200 and the new remainder 15, and apply the division lemma to get

200 = 15 x 13 + 5

We consider the new divisor 15 and the new remainder 5, and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 630 and 215 is 5

Notice that 5 = HCF(15,5) = HCF(200,15) = HCF(215,200) = HCF(630,215) .

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

Step 1: Since 543 > 5, we apply the division lemma to 543 and 5, to get

543 = 5 x 108 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 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 5 and 543 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(543,5) .

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Frequently Asked Questions on HCF of 630, 215, 543 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 630, 215, 543?

Answer: HCF of 630, 215, 543 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 630, 215, 543 using Euclid's Algorithm?

Answer: For arbitrary numbers 630, 215, 543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.