Greatest Common Factor of 2516/916, 1764/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2516/916, 1764/923

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 2516/916,1764/923

Given fractions are 2516/916,1764/923

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2516,1764

Greatest Common Factor of Numerators i.e. GCF of 2516,1764 is 4 .

LCM of Denominators means LCM of 916,923 as per the given fractions.

LCM of 916,923 is 845468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2516,1764

GCF of Fractions 2516/916,1764/923 is 4/845468

2 2516, 1764
2 1258, 882
629, 441

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2516,1764 By Matching Biggest Common Factor Method

Greatest Common Factor of 2516,1764 By Matching Biggest Common Factor Method

Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1,2,4,17,34,37,68,74,148,629,1258,2516

Factors of 1764

List of positive integer factors of 1764 that divides 1764 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764

Greatest Common Factor

We found the factors 2516,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 2516,1764 is 4.

Lets's calculate LCM of 916,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 845468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/845468

Therefore, the GCF of Fractions 2516/916,1764/923 is 4/845468

Least Common Multiple of 916,923 with GCF Formula

Least Common Multiple of 916,923 with GCF Formula

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

We need to calculate greatest common factor of 916,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,923) = 1

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

GCF(916,923) x common factors =1 x 1 = 1

LCM(916,923) = ( 916 × 923 ) / 1

LCM(916,923) = 845468 / 1

LCM(916,923) = 845468


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2516/916, 1764/923

1. 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.

2. What is the GCF of Fractions for 2516/916, 1764/923?

Answer: GCF of Numerators as per given numbers 2516/916, 1764/923 is

GCF of Numerators i.e. for 2516,1764 is 4

LCM of denominators i.e. for 916,923 is 845468.

Thus, GCF of Fractions is 4/845468.Finally, GCF of Fractions for 2516/916, 1764/923 is 4/845468.