Greatest Common Factor of 9925/37, 2884/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9925/37, 2884/380

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 9925/37,2884/380

Given fractions are 9925/37,2884/380

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 9925,2884

Greatest Common Factor of Numerators i.e. GCF of 9925,2884 is 1 .

LCM of Denominators means LCM of 37,380 as per the given fractions.

LCM of 37,380 is 14060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9925,2884

GCF of Fractions 9925/37,2884/380 is 1/14060

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9925,2884 By Matching Biggest Common Factor Method

Greatest Common Factor of 9925,2884 By Matching Biggest Common Factor Method

Factors of 9925

List of positive integer factors of 9925 that divides 9925 without a remainder.

1,5,25,397,1985,9925

Factors of 2884

List of positive integer factors of 2884 that divides 2884 without a remainder.

1,2,4,7,14,28,103,206,412,721,1442,2884

Greatest Common Factor

We found the factors 9925,2884 . The biggest common factor number is the GCF number.
So the greatest common factor 9925,2884 is 1.

Lets's calculate LCM of 37,380

Given numbers has no common factors except 1. So, there LCM is their product i.e 14060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14060

Therefore, the GCF of Fractions 9925/37,2884/380 is 1/14060

Least Common Multiple of 37,380 with GCF Formula

Least Common Multiple of 37,380 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 37,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,380) = 1

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

GCF(37,380) x common factors =1 x 1 = 1

LCM(37,380) = ( 37 × 380 ) / 1

LCM(37,380) = 14060 / 1

LCM(37,380) = 14060


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 9925/37, 2884/380

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 9925/37, 2884/380?

Answer: GCF of Numerators as per given numbers 9925/37, 2884/380 is

GCF of Numerators i.e. for 9925,2884 is 1

LCM of denominators i.e. for 37,380 is 14060.

Thus, GCF of Fractions is 1/14060.Finally, GCF of Fractions for 9925/37, 2884/380 is 1/14060.