Highest Common Factor of 455, 793, 317 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 455, 793, 317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 455, 793, 317 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 455, 793, 317 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 455, 793, 317 is 1.

HCF(455, 793, 317) = 1

HCF of 455, 793, 317 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 455, 793, 317 is 1.

Highest Common Factor of 455,793,317 using Euclid's algorithm

Highest Common Factor of 455,793,317 is 1

Step 1: Since 793 > 455, we apply the division lemma to 793 and 455, to get

793 = 455 x 1 + 338

Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 338 and 455, to get

455 = 338 x 1 + 117

Step 3: We consider the new divisor 338 and the new remainder 117, and apply the division lemma to get

338 = 117 x 2 + 104

We consider the new divisor 117 and the new remainder 104,and apply the division lemma to get

117 = 104 x 1 + 13

We consider the new divisor 104 and the new remainder 13,and apply the division lemma to get

104 = 13 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 455 and 793 is 13

Notice that 13 = HCF(104,13) = HCF(117,104) = HCF(338,117) = HCF(455,338) = HCF(793,455) .

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

Step 1: Since 317 > 13, we apply the division lemma to 317 and 13, to get

317 = 13 x 24 + 5

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 5 and 13, to get

13 = 5 x 2 + 3

Step 3: We consider the new divisor 5 and the new remainder 3, and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 13 and 317 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(317,13) .

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Frequently Asked Questions on HCF of 455, 793, 317 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 455, 793, 317?

Answer: HCF of 455, 793, 317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 455, 793, 317 using Euclid's Algorithm?

Answer: For arbitrary numbers 455, 793, 317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.