Highest Common Factor of 2673, 4597 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 2673, 4597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2673, 4597 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 2673, 4597 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 2673, 4597 is 1.

HCF(2673, 4597) = 1

HCF of 2673, 4597 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 2673, 4597 is 1.

Highest Common Factor of 2673,4597 using Euclid's algorithm

Highest Common Factor of 2673,4597 is 1

Step 1: Since 4597 > 2673, we apply the division lemma to 4597 and 2673, to get

4597 = 2673 x 1 + 1924

Step 2: Since the reminder 2673 ≠ 0, we apply division lemma to 1924 and 2673, to get

2673 = 1924 x 1 + 749

Step 3: We consider the new divisor 1924 and the new remainder 749, and apply the division lemma to get

1924 = 749 x 2 + 426

We consider the new divisor 749 and the new remainder 426,and apply the division lemma to get

749 = 426 x 1 + 323

We consider the new divisor 426 and the new remainder 323,and apply the division lemma to get

426 = 323 x 1 + 103

We consider the new divisor 323 and the new remainder 103,and apply the division lemma to get

323 = 103 x 3 + 14

We consider the new divisor 103 and the new remainder 14,and apply the division lemma to get

103 = 14 x 7 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2673 and 4597 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(103,14) = HCF(323,103) = HCF(426,323) = HCF(749,426) = HCF(1924,749) = HCF(2673,1924) = HCF(4597,2673) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 2673, 4597 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 2673, 4597?

Answer: HCF of 2673, 4597 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2673, 4597 using Euclid's Algorithm?

Answer: For arbitrary numbers 2673, 4597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.