Highest Common Factor of 627, 4117, 4447 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 627, 4117, 4447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 627, 4117, 4447 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 627, 4117, 4447 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 627, 4117, 4447 is 1.

HCF(627, 4117, 4447) = 1

HCF of 627, 4117, 4447 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 627, 4117, 4447 is 1.

Highest Common Factor of 627,4117,4447 using Euclid's algorithm

Highest Common Factor of 627,4117,4447 is 1

Step 1: Since 4117 > 627, we apply the division lemma to 4117 and 627, to get

4117 = 627 x 6 + 355

Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 355 and 627, to get

627 = 355 x 1 + 272

Step 3: We consider the new divisor 355 and the new remainder 272, and apply the division lemma to get

355 = 272 x 1 + 83

We consider the new divisor 272 and the new remainder 83,and apply the division lemma to get

272 = 83 x 3 + 23

We consider the new divisor 83 and the new remainder 23,and apply the division lemma to get

83 = 23 x 3 + 14

We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get

23 = 14 x 1 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 627 and 4117 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(83,23) = HCF(272,83) = HCF(355,272) = HCF(627,355) = HCF(4117,627) .

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

Step 1: Since 4447 > 1, we apply the division lemma to 4447 and 1, to get

4447 = 1 x 4447 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4447 is 1

Notice that 1 = HCF(4447,1) .

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Frequently Asked Questions on HCF of 627, 4117, 4447 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 627, 4117, 4447?

Answer: HCF of 627, 4117, 4447 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 627, 4117, 4447 using Euclid's Algorithm?

Answer: For arbitrary numbers 627, 4117, 4447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.