Highest Common Factor of 855, 515, 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 855, 515, 341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 855, 515, 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 855, 515, 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 855, 515, 341 is 1.

HCF(855, 515, 341) = 1

HCF of 855, 515, 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 855, 515, 341 is 1.

Highest Common Factor of 855,515,341 using Euclid's algorithm

Highest Common Factor of 855,515,341 is 1

Step 1: Since 855 > 515, we apply the division lemma to 855 and 515, to get

855 = 515 x 1 + 340

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 340 and 515, to get

515 = 340 x 1 + 175

Step 3: We consider the new divisor 340 and the new remainder 175, and apply the division lemma to get

340 = 175 x 1 + 165

We consider the new divisor 175 and the new remainder 165,and apply the division lemma to get

175 = 165 x 1 + 10

We consider the new divisor 165 and the new remainder 10,and apply the division lemma to get

165 = 10 x 16 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 855 and 515 is 5

Notice that 5 = HCF(10,5) = HCF(165,10) = HCF(175,165) = HCF(340,175) = HCF(515,340) = HCF(855,515) .

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

Step 1: Since 341 > 5, we apply the division lemma to 341 and 5, to get

341 = 5 x 68 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 341 is 1

Notice that 1 = HCF(5,1) = HCF(341,5) .

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Frequently Asked Questions on HCF of 855, 515, 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 855, 515, 341?

Answer: HCF of 855, 515, 341 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 855, 515, 341 using Euclid's Algorithm?

Answer: For arbitrary numbers 855, 515, 341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.