Highest Common Factor of 481, 349, 620 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 481, 349, 620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 349, 620 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 481, 349, 620 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 481, 349, 620 is 1.

HCF(481, 349, 620) = 1

HCF of 481, 349, 620 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 481, 349, 620 is 1.

Highest Common Factor of 481,349,620 using Euclid's algorithm

Highest Common Factor of 481,349,620 is 1

Step 1: Since 481 > 349, we apply the division lemma to 481 and 349, to get

481 = 349 x 1 + 132

Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 132 and 349, to get

349 = 132 x 2 + 85

Step 3: We consider the new divisor 132 and the new remainder 85, and apply the division lemma to get

132 = 85 x 1 + 47

We consider the new divisor 85 and the new remainder 47,and apply the division lemma to get

85 = 47 x 1 + 38

We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get

47 = 38 x 1 + 9

We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get

38 = 9 x 4 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 481 and 349 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(85,47) = HCF(132,85) = HCF(349,132) = HCF(481,349) .

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

Step 1: Since 620 > 1, we apply the division lemma to 620 and 1, to get

620 = 1 x 620 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 620 is 1

Notice that 1 = HCF(620,1) .

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Frequently Asked Questions on HCF of 481, 349, 620 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 481, 349, 620?

Answer: HCF of 481, 349, 620 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 349, 620 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 349, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.