Highest Common Factor of 515, 894, 197 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, 894, 197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 894, 197 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, 894, 197 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, 894, 197 is 1.

HCF(515, 894, 197) = 1

HCF of 515, 894, 197 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, 894, 197 is 1.

Highest Common Factor of 515,894,197 using Euclid's algorithm

Highest Common Factor of 515,894,197 is 1

Step 1: Since 894 > 515, we apply the division lemma to 894 and 515, to get

894 = 515 x 1 + 379

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 379 and 515, to get

515 = 379 x 1 + 136

Step 3: We consider the new divisor 379 and the new remainder 136, and apply the division lemma to get

379 = 136 x 2 + 107

We consider the new divisor 136 and the new remainder 107,and apply the division lemma to get

136 = 107 x 1 + 29

We consider the new divisor 107 and the new remainder 29,and apply the division lemma to get

107 = 29 x 3 + 20

We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get

29 = 20 x 1 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 894 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(107,29) = HCF(136,107) = HCF(379,136) = HCF(515,379) = HCF(894,515) .

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

Step 1: Since 197 > 1, we apply the division lemma to 197 and 1, to get

197 = 1 x 197 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 197 is 1

Notice that 1 = HCF(197,1) .

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Frequently Asked Questions on HCF of 515, 894, 197 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, 894, 197?

Answer: HCF of 515, 894, 197 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 894, 197 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 894, 197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.