Highest Common Factor of 515, 348, 854 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 515, 348, 854 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 348, 854 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 515, 348, 854 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 515, 348, 854 is 1.

HCF(515, 348, 854) = 1

HCF of 515, 348, 854 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 515, 348, 854 is 1.

Highest Common Factor of 515,348,854 using Euclid's algorithm

Highest Common Factor of 515,348,854 is 1

Step 1: Since 515 > 348, we apply the division lemma to 515 and 348, to get

515 = 348 x 1 + 167

Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 167 and 348, to get

348 = 167 x 2 + 14

Step 3: We consider the new divisor 167 and the new remainder 14, and apply the division lemma to get

167 = 14 x 11 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 348 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(167,14) = HCF(348,167) = HCF(515,348) .

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

Step 1: Since 854 > 1, we apply the division lemma to 854 and 1, to get

854 = 1 x 854 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 854 is 1

Notice that 1 = HCF(854,1) .

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Frequently Asked Questions on HCF of 515, 348, 854 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 515, 348, 854?

Answer: HCF of 515, 348, 854 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 348, 854 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 348, 854 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.