Greatest Common Factor of 1922/984, 7098/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1922/984, 7098/970

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 1922/984,7098/970

Given fractions are 1922/984,7098/970

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 1922,7098

Greatest Common Factor of Numerators i.e. GCF of 1922,7098 is 2 .

LCM of Denominators means LCM of 984,970 as per the given fractions.

LCM of 984,970 is 477240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1922,7098

GCF of Fractions 1922/984,7098/970 is 2/477240

2 1922, 7098
961, 3549

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

Greatest Common Factor of 1922,7098 By Matching Biggest Common Factor Method

Greatest Common Factor of 1922,7098 By Matching Biggest Common Factor Method

Factors of 1922

List of positive integer factors of 1922 that divides 1922 without a remainder.

1,2,31,62,961,1922

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098

Greatest Common Factor

We found the factors 1922,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 1922,7098 is 2.

Lets's calculate LCM of 984,970

2 984, 970
492, 485

∴ So the LCM of the given numbers is 2 x 492 x 485 = 477240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/477240

Therefore, the GCF of Fractions 1922/984,7098/970 is 2/477240

Least Common Multiple of 984,970 with GCF Formula

Least Common Multiple of 984,970 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 984,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,970) = 2

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

GCF(984,970) x common factors =2 x 1 = 2

LCM(984,970) = ( 984 × 970 ) / 2

LCM(984,970) = 954480 / 2

LCM(984,970) = 477240


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 1922/984, 7098/970

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 1922/984, 7098/970?

Answer: GCF of Numerators as per given numbers 1922/984, 7098/970 is

GCF of Numerators i.e. for 1922,7098 is 2

LCM of denominators i.e. for 984,970 is 477240.

Thus, GCF of Fractions is 2/477240.Finally, GCF of Fractions for 1922/984, 7098/970 is 2/477240.