Highest Common Factor of 2246, 5169 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 2246, 5169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2246, 5169 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 2246, 5169 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 2246, 5169 is 1.

HCF(2246, 5169) = 1

HCF of 2246, 5169 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 2246, 5169 is 1.

Highest Common Factor of 2246,5169 using Euclid's algorithm

Highest Common Factor of 2246,5169 is 1

Step 1: Since 5169 > 2246, we apply the division lemma to 5169 and 2246, to get

5169 = 2246 x 2 + 677

Step 2: Since the reminder 2246 ≠ 0, we apply division lemma to 677 and 2246, to get

2246 = 677 x 3 + 215

Step 3: We consider the new divisor 677 and the new remainder 215, and apply the division lemma to get

677 = 215 x 3 + 32

We consider the new divisor 215 and the new remainder 32,and apply the division lemma to get

215 = 32 x 6 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 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 2246 and 5169 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(215,32) = HCF(677,215) = HCF(2246,677) = HCF(5169,2246) .

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Frequently Asked Questions on HCF of 2246, 5169 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 2246, 5169?

Answer: HCF of 2246, 5169 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2246, 5169 using Euclid's Algorithm?

Answer: For arbitrary numbers 2246, 5169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.