Highest Common Factor of 515, 799, 972 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, 799, 972 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 799, 972 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, 799, 972 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, 799, 972 is 1.

HCF(515, 799, 972) = 1

HCF of 515, 799, 972 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, 799, 972 is 1.

Highest Common Factor of 515,799,972 using Euclid's algorithm

Highest Common Factor of 515,799,972 is 1

Step 1: Since 799 > 515, we apply the division lemma to 799 and 515, to get

799 = 515 x 1 + 284

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 284 and 515, to get

515 = 284 x 1 + 231

Step 3: We consider the new divisor 284 and the new remainder 231, and apply the division lemma to get

284 = 231 x 1 + 53

We consider the new divisor 231 and the new remainder 53,and apply the division lemma to get

231 = 53 x 4 + 19

We consider the new divisor 53 and the new remainder 19,and apply the division lemma to get

53 = 19 x 2 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 799 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(53,19) = HCF(231,53) = HCF(284,231) = HCF(515,284) = HCF(799,515) .

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

Step 1: Since 972 > 1, we apply the division lemma to 972 and 1, to get

972 = 1 x 972 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 972 is 1

Notice that 1 = HCF(972,1) .

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Frequently Asked Questions on HCF of 515, 799, 972 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, 799, 972?

Answer: HCF of 515, 799, 972 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 799, 972 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 799, 972 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.