Greatest Common Factor of 2475/373, 4130/3744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2475/373, 4130/3744

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 2475/373,4130/3744

Given fractions are 2475/373,4130/3744

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 2475,4130

Greatest Common Factor of Numerators i.e. GCF of 2475,4130 is 5 .

LCM of Denominators means LCM of 373,3744 as per the given fractions.

LCM of 373,3744 is 1396512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2475,4130

GCF of Fractions 2475/373,4130/3744 is 5/1396512

5 2475, 4130
495, 826

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2475,4130 By Matching Biggest Common Factor Method

Greatest Common Factor of 2475,4130 By Matching Biggest Common Factor Method

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475

Factors of 4130

List of positive integer factors of 4130 that divides 4130 without a remainder.

1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130

Greatest Common Factor

We found the factors 2475,4130 . The biggest common factor number is the GCF number.
So the greatest common factor 2475,4130 is 5.

Lets's calculate LCM of 373,3744

Given numbers has no common factors except 1. So, there LCM is their product i.e 1396512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1396512

Therefore, the GCF of Fractions 2475/373,4130/3744 is 5/1396512

Least Common Multiple of 373,3744 with GCF Formula

Least Common Multiple of 373,3744 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 373,3744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,3744) = 1

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

GCF(373,3744) x common factors =1 x 1 = 1

LCM(373,3744) = ( 373 × 3744 ) / 1

LCM(373,3744) = 1396512 / 1

LCM(373,3744) = 1396512


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2475/373, 4130/3744

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 2475/373, 4130/3744?

Answer: GCF of Numerators as per given numbers 2475/373, 4130/3744 is

GCF of Numerators i.e. for 2475,4130 is 5

LCM of denominators i.e. for 373,3744 is 1396512.

Thus, GCF of Fractions is 5/1396512.Finally, GCF of Fractions for 2475/373, 4130/3744 is 5/1396512.