Highest Common Factor of 730, 1273 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 730, 1273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 730, 1273 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 730, 1273 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 730, 1273 is 1.

HCF(730, 1273) = 1

HCF of 730, 1273 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 730, 1273 is 1.

Highest Common Factor of 730,1273 using Euclid's algorithm

Highest Common Factor of 730,1273 is 1

Step 1: Since 1273 > 730, we apply the division lemma to 1273 and 730, to get

1273 = 730 x 1 + 543

Step 2: Since the reminder 730 ≠ 0, we apply division lemma to 543 and 730, to get

730 = 543 x 1 + 187

Step 3: We consider the new divisor 543 and the new remainder 187, and apply the division lemma to get

543 = 187 x 2 + 169

We consider the new divisor 187 and the new remainder 169,and apply the division lemma to get

187 = 169 x 1 + 18

We consider the new divisor 169 and the new remainder 18,and apply the division lemma to get

169 = 18 x 9 + 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 730 and 1273 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(169,18) = HCF(187,169) = HCF(543,187) = HCF(730,543) = HCF(1273,730) .

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Frequently Asked Questions on HCF of 730, 1273 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 730, 1273?

Answer: HCF of 730, 1273 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 730, 1273 using Euclid's Algorithm?

Answer: For arbitrary numbers 730, 1273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.