Highest Common Factor of 5583, 9287 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 5583, 9287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5583, 9287 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 5583, 9287 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 5583, 9287 is 1.

HCF(5583, 9287) = 1

HCF of 5583, 9287 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 5583, 9287 is 1.

Highest Common Factor of 5583,9287 using Euclid's algorithm

Highest Common Factor of 5583,9287 is 1

Step 1: Since 9287 > 5583, we apply the division lemma to 9287 and 5583, to get

9287 = 5583 x 1 + 3704

Step 2: Since the reminder 5583 ≠ 0, we apply division lemma to 3704 and 5583, to get

5583 = 3704 x 1 + 1879

Step 3: We consider the new divisor 3704 and the new remainder 1879, and apply the division lemma to get

3704 = 1879 x 1 + 1825

We consider the new divisor 1879 and the new remainder 1825,and apply the division lemma to get

1879 = 1825 x 1 + 54

We consider the new divisor 1825 and the new remainder 54,and apply the division lemma to get

1825 = 54 x 33 + 43

We consider the new divisor 54 and the new remainder 43,and apply the division lemma to get

54 = 43 x 1 + 11

We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get

43 = 11 x 3 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5583 and 9287 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(54,43) = HCF(1825,54) = HCF(1879,1825) = HCF(3704,1879) = HCF(5583,3704) = HCF(9287,5583) .

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Frequently Asked Questions on HCF of 5583, 9287 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 5583, 9287?

Answer: HCF of 5583, 9287 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5583, 9287 using Euclid's Algorithm?

Answer: For arbitrary numbers 5583, 9287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.