Highest Common Factor of 515, 854, 951, 341 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, 854, 951, 341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 854, 951, 341 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, 854, 951, 341 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, 854, 951, 341 is 1.

HCF(515, 854, 951, 341) = 1

HCF of 515, 854, 951, 341 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, 854, 951, 341 is 1.

Highest Common Factor of 515,854,951,341 using Euclid's algorithm

Highest Common Factor of 515,854,951,341 is 1

Step 1: Since 854 > 515, we apply the division lemma to 854 and 515, to get

854 = 515 x 1 + 339

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 339 and 515, to get

515 = 339 x 1 + 176

Step 3: We consider the new divisor 339 and the new remainder 176, and apply the division lemma to get

339 = 176 x 1 + 163

We consider the new divisor 176 and the new remainder 163,and apply the division lemma to get

176 = 163 x 1 + 13

We consider the new divisor 163 and the new remainder 13,and apply the division lemma to get

163 = 13 x 12 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 854 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(163,13) = HCF(176,163) = HCF(339,176) = HCF(515,339) = HCF(854,515) .

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

Step 1: Since 951 > 1, we apply the division lemma to 951 and 1, to get

951 = 1 x 951 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 951 is 1

Notice that 1 = HCF(951,1) .

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

Step 1: Since 341 > 1, we apply the division lemma to 341 and 1, to get

341 = 1 x 341 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 341 is 1

Notice that 1 = HCF(341,1) .

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Frequently Asked Questions on HCF of 515, 854, 951, 341 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, 854, 951, 341?

Answer: HCF of 515, 854, 951, 341 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 854, 951, 341 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 854, 951, 341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.