Highest Common Factor of 614, 416, 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 614, 416, 393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 614, 416, 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 614, 416, 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 614, 416, 393 is 1.

HCF(614, 416, 393) = 1

HCF of 614, 416, 393 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 614, 416, 393 is 1.

Highest Common Factor of 614,416,393 using Euclid's algorithm

Highest Common Factor of 614,416,393 is 1

Step 1: Since 614 > 416, we apply the division lemma to 614 and 416, to get

614 = 416 x 1 + 198

Step 2: Since the reminder 416 ≠ 0, we apply division lemma to 198 and 416, to get

416 = 198 x 2 + 20

Step 3: We consider the new divisor 198 and the new remainder 20, and apply the division lemma to get

198 = 20 x 9 + 18

We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get

20 = 18 x 1 + 2

We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 614 and 416 is 2

Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(198,20) = HCF(416,198) = HCF(614,416) .

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 614, 416, 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 614, 416, 393?

Answer: HCF of 614, 416, 393 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 614, 416, 393 using Euclid's Algorithm?

Answer: For arbitrary numbers 614, 416, 393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.