Highest Common Factor of 794, 315, 289 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 794, 315, 289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 794, 315, 289 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 794, 315, 289 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 794, 315, 289 is 1.

HCF(794, 315, 289) = 1

HCF of 794, 315, 289 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 794, 315, 289 is 1.

Highest Common Factor of 794,315,289 using Euclid's algorithm

Highest Common Factor of 794,315,289 is 1

Step 1: Since 794 > 315, we apply the division lemma to 794 and 315, to get

794 = 315 x 2 + 164

Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 164 and 315, to get

315 = 164 x 1 + 151

Step 3: We consider the new divisor 164 and the new remainder 151, and apply the division lemma to get

164 = 151 x 1 + 13

We consider the new divisor 151 and the new remainder 13,and apply the division lemma to get

151 = 13 x 11 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 794 and 315 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(151,13) = HCF(164,151) = HCF(315,164) = HCF(794,315) .

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

Step 1: Since 289 > 1, we apply the division lemma to 289 and 1, to get

289 = 1 x 289 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 289 is 1

Notice that 1 = HCF(289,1) .

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Frequently Asked Questions on HCF of 794, 315, 289 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 794, 315, 289?

Answer: HCF of 794, 315, 289 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 794, 315, 289 using Euclid's Algorithm?

Answer: For arbitrary numbers 794, 315, 289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.