Highest Common Factor of 855, 517, 73 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, 517, 73 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 855, 517, 73 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, 517, 73 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, 517, 73 is 1.

HCF(855, 517, 73) = 1

HCF of 855, 517, 73 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, 517, 73 is 1.

Highest Common Factor of 855,517,73 using Euclid's algorithm

Highest Common Factor of 855,517,73 is 1

Step 1: Since 855 > 517, we apply the division lemma to 855 and 517, to get

855 = 517 x 1 + 338

Step 2: Since the reminder 517 ≠ 0, we apply division lemma to 338 and 517, to get

517 = 338 x 1 + 179

Step 3: We consider the new divisor 338 and the new remainder 179, and apply the division lemma to get

338 = 179 x 1 + 159

We consider the new divisor 179 and the new remainder 159,and apply the division lemma to get

179 = 159 x 1 + 20

We consider the new divisor 159 and the new remainder 20,and apply the division lemma to get

159 = 20 x 7 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 855 and 517 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(159,20) = HCF(179,159) = HCF(338,179) = HCF(517,338) = HCF(855,517) .

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

Step 1: Since 73 > 1, we apply the division lemma to 73 and 1, to get

73 = 1 x 73 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73 is 1

Notice that 1 = HCF(73,1) .

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Frequently Asked Questions on HCF of 855, 517, 73 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, 517, 73?

Answer: HCF of 855, 517, 73 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 855, 517, 73 using Euclid's Algorithm?

Answer: For arbitrary numbers 855, 517, 73 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.