Greatest Common Factor of 130/98, 993/46, 688/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 130/98, 993/46, 688/87

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 130/98,993/46,688/87

Given fractions are 130/98,993/46,688/87

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 130,993,688

Greatest Common Factor of Numerators i.e. GCF of 130,993,688 is 1 .

LCM of Denominators means LCM of 98,46,87 as per the given fractions.

LCM of 98,46,87 is 196098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 130,993,688

GCF of Fractions 130/98,993/46,688/87 is 1/196098

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

Greatest Common Factor of 130,993,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,993,688 By Matching Biggest Common Factor Method

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 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 130,993,688 . The biggest common factor number is the GCF number.
So the greatest common factor 130,993,688 is 1.

Lets's calculate LCM of 98,46,87

2 98, 46, 87
49, 23, 87

∴ So the LCM of the given numbers is 2 x 49 x 23 x 87 = 196098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196098

Therefore, the GCF of Fractions 130/98,993/46,688/87 is 1/196098

Least Common Multiple of 98,46,87 with GCF Formula

Least Common Multiple of 98,46,87 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 98,46,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,46,87) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,46,87) x common factors =1 x 2 = 2

LCM(98,46,87) = ( 98 × 46 × 87 ) / 2

LCM(98,46,87) = 392196 / 2

LCM(98,46,87) = 196098


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 130/98, 993/46, 688/87

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 130/98, 993/46, 688/87?

Answer: GCF of Numerators as per given numbers 130/98, 993/46, 688/87 is

GCF of Numerators i.e. for 130,993,688 is 1

LCM of denominators i.e. for 98,46,87 is 196098.

Thus, GCF of Fractions is 1/196098.Finally, GCF of Fractions for 130/98, 993/46, 688/87 is 1/196098.