Highest Common Factor of 4080, 2603 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 4080, 2603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4080, 2603 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 4080, 2603 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 4080, 2603 is 1.

HCF(4080, 2603) = 1

HCF of 4080, 2603 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 4080, 2603 is 1.

Highest Common Factor of 4080,2603 using Euclid's algorithm

Highest Common Factor of 4080,2603 is 1

Step 1: Since 4080 > 2603, we apply the division lemma to 4080 and 2603, to get

4080 = 2603 x 1 + 1477

Step 2: Since the reminder 2603 ≠ 0, we apply division lemma to 1477 and 2603, to get

2603 = 1477 x 1 + 1126

Step 3: We consider the new divisor 1477 and the new remainder 1126, and apply the division lemma to get

1477 = 1126 x 1 + 351

We consider the new divisor 1126 and the new remainder 351,and apply the division lemma to get

1126 = 351 x 3 + 73

We consider the new divisor 351 and the new remainder 73,and apply the division lemma to get

351 = 73 x 4 + 59

We consider the new divisor 73 and the new remainder 59,and apply the division lemma to get

73 = 59 x 1 + 14

We consider the new divisor 59 and the new remainder 14,and apply the division lemma to get

59 = 14 x 4 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 4080 and 2603 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(59,14) = HCF(73,59) = HCF(351,73) = HCF(1126,351) = HCF(1477,1126) = HCF(2603,1477) = HCF(4080,2603) .

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Frequently Asked Questions on HCF of 4080, 2603 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 4080, 2603?

Answer: HCF of 4080, 2603 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4080, 2603 using Euclid's Algorithm?

Answer: For arbitrary numbers 4080, 2603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.