Highest Common Factor of 614, 383, 480 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, 383, 480 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 614, 383, 480 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, 383, 480 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, 383, 480 is 1.

HCF(614, 383, 480) = 1

HCF of 614, 383, 480 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 614, 383, 480 is 1.

Highest Common Factor of 614,383,480 using Euclid's algorithm

Highest Common Factor of 614,383,480 is 1

Step 1: Since 614 > 383, we apply the division lemma to 614 and 383, to get

614 = 383 x 1 + 231

Step 2: Since the reminder 383 ≠ 0, we apply division lemma to 231 and 383, to get

383 = 231 x 1 + 152

Step 3: We consider the new divisor 231 and the new remainder 152, and apply the division lemma to get

231 = 152 x 1 + 79

We consider the new divisor 152 and the new remainder 79,and apply the division lemma to get

152 = 79 x 1 + 73

We consider the new divisor 79 and the new remainder 73,and apply the division lemma to get

79 = 73 x 1 + 6

We consider the new divisor 73 and the new remainder 6,and apply the division lemma to get

73 = 6 x 12 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 614 and 383 is 1

Notice that 1 = HCF(6,1) = HCF(73,6) = HCF(79,73) = HCF(152,79) = HCF(231,152) = HCF(383,231) = HCF(614,383) .


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

Step 1: Since 480 > 1, we apply the division lemma to 480 and 1, to get

480 = 1 x 480 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 480 is 1

Notice that 1 = HCF(480,1) .

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Frequently Asked Questions on HCF of 614, 383, 480 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, 383, 480?

Answer: HCF of 614, 383, 480 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 614, 383, 480 using Euclid's Algorithm?

Answer: For arbitrary numbers 614, 383, 480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.