Highest Common Factor of 481, 839, 373 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, 839, 373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 839, 373 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, 839, 373 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, 839, 373 is 1.

HCF(481, 839, 373) = 1

HCF of 481, 839, 373 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, 839, 373 is 1.

Highest Common Factor of 481,839,373 using Euclid's algorithm

Highest Common Factor of 481,839,373 is 1

Step 1: Since 839 > 481, we apply the division lemma to 839 and 481, to get

839 = 481 x 1 + 358

Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 358 and 481, to get

481 = 358 x 1 + 123

Step 3: We consider the new divisor 358 and the new remainder 123, and apply the division lemma to get

358 = 123 x 2 + 112

We consider the new divisor 123 and the new remainder 112,and apply the division lemma to get

123 = 112 x 1 + 11

We consider the new divisor 112 and the new remainder 11,and apply the division lemma to get

112 = 11 x 10 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 839 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(112,11) = HCF(123,112) = HCF(358,123) = HCF(481,358) = HCF(839,481) .

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

Step 1: Since 373 > 1, we apply the division lemma to 373 and 1, to get

373 = 1 x 373 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 373 is 1

Notice that 1 = HCF(373,1) .

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Frequently Asked Questions on HCF of 481, 839, 373 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, 839, 373?

Answer: HCF of 481, 839, 373 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 839, 373 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 839, 373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.