Greatest Common Factor of 997/9870, 744/1874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 997/9870, 744/1874

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 997/9870,744/1874

Given fractions are 997/9870,744/1874

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 997,744

Greatest Common Factor of Numerators i.e. GCF of 997,744 is 1 .

LCM of Denominators means LCM of 9870,1874 as per the given fractions.

LCM of 9870,1874 is 9248190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 997,744

GCF of Fractions 997/9870,744/1874 is 1/9248190

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

Greatest Common Factor of 997,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,744 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 997,744 . The biggest common factor number is the GCF number.
So the greatest common factor 997,744 is 1.

Lets's calculate LCM of 9870,1874

2 9870, 1874
4935, 937

∴ So the LCM of the given numbers is 2 x 4935 x 937 = 9248190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9248190

Therefore, the GCF of Fractions 997/9870,744/1874 is 1/9248190

Least Common Multiple of 9870,1874 with GCF Formula

Least Common Multiple of 9870,1874 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 9870,1874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9870,1874) = 2

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

GCF(9870,1874) x common factors =2 x 1 = 2

LCM(9870,1874) = ( 9870 × 1874 ) / 2

LCM(9870,1874) = 18496380 / 2

LCM(9870,1874) = 9248190


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 997/9870, 744/1874

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 997/9870, 744/1874?

Answer: GCF of Numerators as per given numbers 997/9870, 744/1874 is

GCF of Numerators i.e. for 997,744 is 1

LCM of denominators i.e. for 9870,1874 is 9248190.

Thus, GCF of Fractions is 1/9248190.Finally, GCF of Fractions for 997/9870, 744/1874 is 1/9248190.