Highest Common Factor of 515, 989, 627, 196 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, 989, 627, 196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 989, 627, 196 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, 989, 627, 196 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, 989, 627, 196 is 1.

HCF(515, 989, 627, 196) = 1

HCF of 515, 989, 627, 196 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, 989, 627, 196 is 1.

Highest Common Factor of 515,989,627,196 using Euclid's algorithm

Highest Common Factor of 515,989,627,196 is 1

Step 1: Since 989 > 515, we apply the division lemma to 989 and 515, to get

989 = 515 x 1 + 474

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 474 and 515, to get

515 = 474 x 1 + 41

Step 3: We consider the new divisor 474 and the new remainder 41, and apply the division lemma to get

474 = 41 x 11 + 23

We consider the new divisor 41 and the new remainder 23,and apply the division lemma to get

41 = 23 x 1 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 989 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(41,23) = HCF(474,41) = HCF(515,474) = HCF(989,515) .

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

Step 1: Since 627 > 1, we apply the division lemma to 627 and 1, to get

627 = 1 x 627 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 627 is 1

Notice that 1 = HCF(627,1) .

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

Step 1: Since 196 > 1, we apply the division lemma to 196 and 1, to get

196 = 1 x 196 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 196 is 1

Notice that 1 = HCF(196,1) .

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Frequently Asked Questions on HCF of 515, 989, 627, 196 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, 989, 627, 196?

Answer: HCF of 515, 989, 627, 196 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 989, 627, 196 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 989, 627, 196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.