Greatest Common Factor of 998/810, 130/742, 674/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 998/810, 130/742, 674/111

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 998/810,130/742,674/111

Given fractions are 998/810,130/742,674/111

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 998,130,674

Greatest Common Factor of Numerators i.e. GCF of 998,130,674 is 2 .

LCM of Denominators means LCM of 810,742,111 as per the given fractions.

LCM of 810,742,111 is 11118870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 998,130,674

GCF of Fractions 998/810,130/742,674/111 is 2/11118870

2 998, 130, 674
499, 65, 337

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

Greatest Common Factor of 998,130,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,130,674 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 998,130,674 . The biggest common factor number is the GCF number.
So the greatest common factor 998,130,674 is 2.

Lets's calculate LCM of 810,742,111

2 810, 742, 111
3 405, 371, 111
135, 371, 37

∴ So the LCM of the given numbers is 2 x 3 x 135 x 371 x 37 = 11118870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11118870

Therefore, the GCF of Fractions 998/810,130/742,674/111 is 2/11118870

Least Common Multiple of 810,742,111 with GCF Formula

Least Common Multiple of 810,742,111 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 810,742,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,742,111) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(810,742,111) x common factors =1 x 6 = 6

LCM(810,742,111) = ( 810 × 742 × 111 ) / 6

LCM(810,742,111) = 66713220 / 6

LCM(810,742,111) = 11118870


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 998/810, 130/742, 674/111

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 998/810, 130/742, 674/111?

Answer: GCF of Numerators as per given numbers 998/810, 130/742, 674/111 is

GCF of Numerators i.e. for 998,130,674 is 2

LCM of denominators i.e. for 810,742,111 is 11118870.

Thus, GCF of Fractions is 2/11118870.Finally, GCF of Fractions for 998/810, 130/742, 674/111 is 2/11118870.