Highest Common Factor of 1226, 1923 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 1226, 1923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1226, 1923 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 1226, 1923 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 1226, 1923 is 1.

HCF(1226, 1923) = 1

HCF of 1226, 1923 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 1226, 1923 is 1.

Highest Common Factor of 1226,1923 using Euclid's algorithm

Highest Common Factor of 1226,1923 is 1

Step 1: Since 1923 > 1226, we apply the division lemma to 1923 and 1226, to get

1923 = 1226 x 1 + 697

Step 2: Since the reminder 1226 ≠ 0, we apply division lemma to 697 and 1226, to get

1226 = 697 x 1 + 529

Step 3: We consider the new divisor 697 and the new remainder 529, and apply the division lemma to get

697 = 529 x 1 + 168

We consider the new divisor 529 and the new remainder 168,and apply the division lemma to get

529 = 168 x 3 + 25

We consider the new divisor 168 and the new remainder 25,and apply the division lemma to get

168 = 25 x 6 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1226 and 1923 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(168,25) = HCF(529,168) = HCF(697,529) = HCF(1226,697) = HCF(1923,1226) .

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Frequently Asked Questions on HCF of 1226, 1923 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 1226, 1923?

Answer: HCF of 1226, 1923 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1226, 1923 using Euclid's Algorithm?

Answer: For arbitrary numbers 1226, 1923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.