Highest Common Factor of 7243, 5103 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 7243, 5103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7243, 5103 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 7243, 5103 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 7243, 5103 is 1.

HCF(7243, 5103) = 1

HCF of 7243, 5103 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7243, 5103 is 1.

Highest Common Factor of 7243,5103 using Euclid's algorithm

Highest Common Factor of 7243,5103 is 1

Step 1: Since 7243 > 5103, we apply the division lemma to 7243 and 5103, to get

7243 = 5103 x 1 + 2140

Step 2: Since the reminder 5103 ≠ 0, we apply division lemma to 2140 and 5103, to get

5103 = 2140 x 2 + 823

Step 3: We consider the new divisor 2140 and the new remainder 823, and apply the division lemma to get

2140 = 823 x 2 + 494

We consider the new divisor 823 and the new remainder 494,and apply the division lemma to get

823 = 494 x 1 + 329

We consider the new divisor 494 and the new remainder 329,and apply the division lemma to get

494 = 329 x 1 + 165

We consider the new divisor 329 and the new remainder 165,and apply the division lemma to get

329 = 165 x 1 + 164

We consider the new divisor 165 and the new remainder 164,and apply the division lemma to get

165 = 164 x 1 + 1

We consider the new divisor 164 and the new remainder 1,and apply the division lemma to get

164 = 1 x 164 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7243 and 5103 is 1

Notice that 1 = HCF(164,1) = HCF(165,164) = HCF(329,165) = HCF(494,329) = HCF(823,494) = HCF(2140,823) = HCF(5103,2140) = HCF(7243,5103) .

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Frequently Asked Questions on HCF of 7243, 5103 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 7243, 5103?

Answer: HCF of 7243, 5103 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7243, 5103 using Euclid's Algorithm?

Answer: For arbitrary numbers 7243, 5103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.