Highest Common Factor of 481, 773, 934 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, 773, 934 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 773, 934 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, 773, 934 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, 773, 934 is 1.

HCF(481, 773, 934) = 1

HCF of 481, 773, 934 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, 773, 934 is 1.

Highest Common Factor of 481,773,934 using Euclid's algorithm

Highest Common Factor of 481,773,934 is 1

Step 1: Since 773 > 481, we apply the division lemma to 773 and 481, to get

773 = 481 x 1 + 292

Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 292 and 481, to get

481 = 292 x 1 + 189

Step 3: We consider the new divisor 292 and the new remainder 189, and apply the division lemma to get

292 = 189 x 1 + 103

We consider the new divisor 189 and the new remainder 103,and apply the division lemma to get

189 = 103 x 1 + 86

We consider the new divisor 103 and the new remainder 86,and apply the division lemma to get

103 = 86 x 1 + 17

We consider the new divisor 86 and the new remainder 17,and apply the division lemma to get

86 = 17 x 5 + 1

We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 481 and 773 is 1

Notice that 1 = HCF(17,1) = HCF(86,17) = HCF(103,86) = HCF(189,103) = HCF(292,189) = HCF(481,292) = HCF(773,481) .

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

Step 1: Since 934 > 1, we apply the division lemma to 934 and 1, to get

934 = 1 x 934 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 934 is 1

Notice that 1 = HCF(934,1) .

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Frequently Asked Questions on HCF of 481, 773, 934 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, 773, 934?

Answer: HCF of 481, 773, 934 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 773, 934 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 773, 934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.