Highest Common Factor of 630, 884, 393 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, 884, 393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 630, 884, 393 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, 884, 393 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, 884, 393 is 1.

HCF(630, 884, 393) = 1

HCF of 630, 884, 393 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 630, 884, 393 is 1.

Highest Common Factor of 630,884,393 using Euclid's algorithm

Highest Common Factor of 630,884,393 is 1

Step 1: Since 884 > 630, we apply the division lemma to 884 and 630, to get

884 = 630 x 1 + 254

Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 254 and 630, to get

630 = 254 x 2 + 122

Step 3: We consider the new divisor 254 and the new remainder 122, and apply the division lemma to get

254 = 122 x 2 + 10

We consider the new divisor 122 and the new remainder 10,and apply the division lemma to get

122 = 10 x 12 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 630 and 884 is 2

Notice that 2 = HCF(10,2) = HCF(122,10) = HCF(254,122) = HCF(630,254) = HCF(884,630) .

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

Step 1: Since 393 > 2, we apply the division lemma to 393 and 2, to get

393 = 2 x 196 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 393 is 1

Notice that 1 = HCF(2,1) = HCF(393,2) .

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Frequently Asked Questions on HCF of 630, 884, 393 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, 884, 393?

Answer: HCF of 630, 884, 393 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 630, 884, 393 using Euclid's Algorithm?

Answer: For arbitrary numbers 630, 884, 393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.