Greatest Common Factor of 96/95, 942/98, 310/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/95, 942/98, 310/430

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 96/95,942/98,310/430

Given fractions are 96/95,942/98,310/430

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 96,942,310

Greatest Common Factor of Numerators i.e. GCF of 96,942,310 is 2 .

LCM of Denominators means LCM of 95,98,430 as per the given fractions.

LCM of 95,98,430 is 400330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,942,310

GCF of Fractions 96/95,942/98,310/430 is 2/400330

2 96, 942, 310
48, 471, 155

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

Greatest Common Factor of 96,942,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,942,310 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 96,942,310 . The biggest common factor number is the GCF number.
So the greatest common factor 96,942,310 is 2.

Lets's calculate LCM of 95,98,430

2 95, 98, 430
5 95, 49, 215
19, 49, 43

∴ So the LCM of the given numbers is 2 x 5 x 19 x 49 x 43 = 400330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/400330

Therefore, the GCF of Fractions 96/95,942/98,310/430 is 2/400330

Least Common Multiple of 95,98,430 with GCF Formula

Least Common Multiple of 95,98,430 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 95,98,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,98,430) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(95,98,430) x common factors =1 x 10 = 10

LCM(95,98,430) = ( 95 × 98 × 430 ) / 10

LCM(95,98,430) = 4003300 / 10

LCM(95,98,430) = 400330


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 96/95, 942/98, 310/430

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 96/95, 942/98, 310/430?

Answer: GCF of Numerators as per given numbers 96/95, 942/98, 310/430 is

GCF of Numerators i.e. for 96,942,310 is 2

LCM of denominators i.e. for 95,98,430 is 400330.

Thus, GCF of Fractions is 2/400330.Finally, GCF of Fractions for 96/95, 942/98, 310/430 is 2/400330.