Highest Common Factor of 2603, 9387 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 2603, 9387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2603, 9387 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 2603, 9387 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 2603, 9387 is 1.

HCF(2603, 9387) = 1

HCF of 2603, 9387 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 2603, 9387 is 1.

Highest Common Factor of 2603,9387 using Euclid's algorithm

Highest Common Factor of 2603,9387 is 1

Step 1: Since 9387 > 2603, we apply the division lemma to 9387 and 2603, to get

9387 = 2603 x 3 + 1578

Step 2: Since the reminder 2603 ≠ 0, we apply division lemma to 1578 and 2603, to get

2603 = 1578 x 1 + 1025

Step 3: We consider the new divisor 1578 and the new remainder 1025, and apply the division lemma to get

1578 = 1025 x 1 + 553

We consider the new divisor 1025 and the new remainder 553,and apply the division lemma to get

1025 = 553 x 1 + 472

We consider the new divisor 553 and the new remainder 472,and apply the division lemma to get

553 = 472 x 1 + 81

We consider the new divisor 472 and the new remainder 81,and apply the division lemma to get

472 = 81 x 5 + 67

We consider the new divisor 81 and the new remainder 67,and apply the division lemma to get

81 = 67 x 1 + 14

We consider the new divisor 67 and the new remainder 14,and apply the division lemma to get

67 = 14 x 4 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2603 and 9387 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(67,14) = HCF(81,67) = HCF(472,81) = HCF(553,472) = HCF(1025,553) = HCF(1578,1025) = HCF(2603,1578) = HCF(9387,2603) .

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Frequently Asked Questions on HCF of 2603, 9387 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 2603, 9387?

Answer: HCF of 2603, 9387 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2603, 9387 using Euclid's Algorithm?

Answer: For arbitrary numbers 2603, 9387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.