Highest Common Factor of 5582, 9203 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 5582, 9203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5582, 9203 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 5582, 9203 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 5582, 9203 is 1.

HCF(5582, 9203) = 1

HCF of 5582, 9203 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 5582, 9203 is 1.

Highest Common Factor of 5582,9203 using Euclid's algorithm

Highest Common Factor of 5582,9203 is 1

Step 1: Since 9203 > 5582, we apply the division lemma to 9203 and 5582, to get

9203 = 5582 x 1 + 3621

Step 2: Since the reminder 5582 ≠ 0, we apply division lemma to 3621 and 5582, to get

5582 = 3621 x 1 + 1961

Step 3: We consider the new divisor 3621 and the new remainder 1961, and apply the division lemma to get

3621 = 1961 x 1 + 1660

We consider the new divisor 1961 and the new remainder 1660,and apply the division lemma to get

1961 = 1660 x 1 + 301

We consider the new divisor 1660 and the new remainder 301,and apply the division lemma to get

1660 = 301 x 5 + 155

We consider the new divisor 301 and the new remainder 155,and apply the division lemma to get

301 = 155 x 1 + 146

We consider the new divisor 155 and the new remainder 146,and apply the division lemma to get

155 = 146 x 1 + 9

We consider the new divisor 146 and the new remainder 9,and apply the division lemma to get

146 = 9 x 16 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5582 and 9203 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(146,9) = HCF(155,146) = HCF(301,155) = HCF(1660,301) = HCF(1961,1660) = HCF(3621,1961) = HCF(5582,3621) = HCF(9203,5582) .

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Frequently Asked Questions on HCF of 5582, 9203 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 5582, 9203?

Answer: HCF of 5582, 9203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5582, 9203 using Euclid's Algorithm?

Answer: For arbitrary numbers 5582, 9203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.