Highest Common Factor of 622, 15893 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 622, 15893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 622, 15893 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 622, 15893 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 622, 15893 is 1.

HCF(622, 15893) = 1

HCF of 622, 15893 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 622, 15893 is 1.

Highest Common Factor of 622,15893 using Euclid's algorithm

Highest Common Factor of 622,15893 is 1

Step 1: Since 15893 > 622, we apply the division lemma to 15893 and 622, to get

15893 = 622 x 25 + 343

Step 2: Since the reminder 622 ≠ 0, we apply division lemma to 343 and 622, to get

622 = 343 x 1 + 279

Step 3: We consider the new divisor 343 and the new remainder 279, and apply the division lemma to get

343 = 279 x 1 + 64

We consider the new divisor 279 and the new remainder 64,and apply the division lemma to get

279 = 64 x 4 + 23

We consider the new divisor 64 and the new remainder 23,and apply the division lemma to get

64 = 23 x 2 + 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 622 and 15893 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(64,23) = HCF(279,64) = HCF(343,279) = HCF(622,343) = HCF(15893,622) .

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Frequently Asked Questions on HCF of 622, 15893 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 622, 15893?

Answer: HCF of 622, 15893 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 622, 15893 using Euclid's Algorithm?

Answer: For arbitrary numbers 622, 15893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.