How to Find GCF of 2586/923, 4708/7538?

GCF of 2586/923, 4708/7538

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2586/923, 4708/7538 i.e 2/6957574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2586/923, 4708/7538.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2586/923,4708/7538?

Given fractions are 2586/923,4708/7538

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2586/923,4708/7538, numerators are 2586,4708

Denominators are 923,7538

The GCF of 2586,4708 is 2 .

LCM of 923,7538 is 6957574.

The greatest common factor of 2586/923,4708/7538 = [GCF of 2586,4708]/[LCM of 923,7538]= 2/6957574

Therefore, the GCF of 2586/923,4708/7538 is 2/6957574.

Greatest Common Factor of 2586,4708

To find the highest common factor of 2586,4708, we have to find the factors of both numbers and list the highest common factor.

The factors of 2586 are 1, 2, 3, 6, 431, 862, 1293, 2586

The factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708

The HCF of 2586,4708 is 2.

Lets's calculate GCF of 2586,4708

Greatest Common Factor (GCF) of 2586,4708 By Common Division

2	2586, 4708
	1293, 2354

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2586,4708 By Matching Biggest Common Factor Method

Now, list down the factors of 2586

1,2,3,6,431,862,1293,2586

Now, list down the factors of 4708

1,2,4,11,22,44,107,214,428,1177,2354,4708

Greatest Common Factor

We found the factors 2586,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 2586,4708 is 2.

Lets's calculate LCM of 923,7538

Lowest Common Multiple of 923,7538 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6957574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6957574

Therefore, the GCF of Fractions 2586/923,4708/7538 is 2/6957574

Least Common Multiple of 923,7538 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 923,7538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,7538) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(923,7538) x common factors =1 x 1 = 1

LCM(923,7538) = ( 923 × 7538 ) / 1

LCM(923,7538) = 6957574 / 1

LCM(923,7538) = 6957574

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2586/923, 4708/7538

1. What is the HCF of 2586,4708?

The HCF of 2586,4708 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2586/923, 4708/7538?

Answer: GCF of Numerators as per given numbers 2586/923, 4708/7538 is

GCF of Numerators i.e. for 2586,4708 is 2

LCM of denominators i.e. for 923,7538 is 6957574.

Thus, GCF of Fractions is 2/6957574.Finally, GCF of Fractions for 2586/923, 4708/7538 is 2/6957574.