Highest Common Factor of 919, 568, 637 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 919, 568, 637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 919, 568, 637 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 919, 568, 637 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 919, 568, 637 is 1.

HCF(919, 568, 637) = 1

HCF of 919, 568, 637 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 919, 568, 637 is 1.

Highest Common Factor of 919,568,637 using Euclid's algorithm

Highest Common Factor of 919,568,637 is 1

Step 1: Since 919 > 568, we apply the division lemma to 919 and 568, to get

919 = 568 x 1 + 351

Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 351 and 568, to get

568 = 351 x 1 + 217

Step 3: We consider the new divisor 351 and the new remainder 217, and apply the division lemma to get

351 = 217 x 1 + 134

We consider the new divisor 217 and the new remainder 134,and apply the division lemma to get

217 = 134 x 1 + 83

We consider the new divisor 134 and the new remainder 83,and apply the division lemma to get

134 = 83 x 1 + 51

We consider the new divisor 83 and the new remainder 51,and apply the division lemma to get

83 = 51 x 1 + 32

We consider the new divisor 51 and the new remainder 32,and apply the division lemma to get

51 = 32 x 1 + 19

We consider the new divisor 32 and the new remainder 19,and apply the division lemma to get

32 = 19 x 1 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 919 and 568 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(32,19) = HCF(51,32) = HCF(83,51) = HCF(134,83) = HCF(217,134) = HCF(351,217) = HCF(568,351) = HCF(919,568) .

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

Step 1: Since 637 > 1, we apply the division lemma to 637 and 1, to get

637 = 1 x 637 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 637 is 1

Notice that 1 = HCF(637,1) .

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Frequently Asked Questions on HCF of 919, 568, 637 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 919, 568, 637?

Answer: HCF of 919, 568, 637 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 919, 568, 637 using Euclid's Algorithm?

Answer: For arbitrary numbers 919, 568, 637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.