Highest Common Factor of 7543, 5483 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 7543, 5483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7543, 5483 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 7543, 5483 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 7543, 5483 is 1.

HCF(7543, 5483) = 1

HCF of 7543, 5483 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 7543, 5483 is 1.

Highest Common Factor of 7543,5483 using Euclid's algorithm

Highest Common Factor of 7543,5483 is 1

Step 1: Since 7543 > 5483, we apply the division lemma to 7543 and 5483, to get

7543 = 5483 x 1 + 2060

Step 2: Since the reminder 5483 ≠ 0, we apply division lemma to 2060 and 5483, to get

5483 = 2060 x 2 + 1363

Step 3: We consider the new divisor 2060 and the new remainder 1363, and apply the division lemma to get

2060 = 1363 x 1 + 697

We consider the new divisor 1363 and the new remainder 697,and apply the division lemma to get

1363 = 697 x 1 + 666

We consider the new divisor 697 and the new remainder 666,and apply the division lemma to get

697 = 666 x 1 + 31

We consider the new divisor 666 and the new remainder 31,and apply the division lemma to get

666 = 31 x 21 + 15

We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get

31 = 15 x 2 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7543 and 5483 is 1

Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(666,31) = HCF(697,666) = HCF(1363,697) = HCF(2060,1363) = HCF(5483,2060) = HCF(7543,5483) .

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Frequently Asked Questions on HCF of 7543, 5483 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 7543, 5483?

Answer: HCF of 7543, 5483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7543, 5483 using Euclid's Algorithm?

Answer: For arbitrary numbers 7543, 5483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.