Greatest Common Factor of 93/338, 7750/2954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/338, 7750/2954

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 93/338,7750/2954

Given fractions are 93/338,7750/2954

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 93,7750

Greatest Common Factor of Numerators i.e. GCF of 93,7750 is 31 .

LCM of Denominators means LCM of 338,2954 as per the given fractions.

LCM of 338,2954 is 499226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,7750

GCF of Fractions 93/338,7750/2954 is 31/499226

31 93, 7750
3, 250

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 93,7750 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,7750 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 7750

List of positive integer factors of 7750 that divides 7750 without a remainder.

1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750

Greatest Common Factor

We found the factors 93,7750 . The biggest common factor number is the GCF number.
So the greatest common factor 93,7750 is 31.

Lets's calculate LCM of 338,2954

2 338, 2954
169, 1477

∴ So the LCM of the given numbers is 2 x 169 x 1477 = 499226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/499226

Therefore, the GCF of Fractions 93/338,7750/2954 is 31/499226

Least Common Multiple of 338,2954 with GCF Formula

Least Common Multiple of 338,2954 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 338,2954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,2954) = 2

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

GCF(338,2954) x common factors =2 x 1 = 2

LCM(338,2954) = ( 338 × 2954 ) / 2

LCM(338,2954) = 998452 / 2

LCM(338,2954) = 499226


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 93/338, 7750/2954

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 93/338, 7750/2954?

Answer: GCF of Numerators as per given numbers 93/338, 7750/2954 is

GCF of Numerators i.e. for 93,7750 is 31

LCM of denominators i.e. for 338,2954 is 499226.

Thus, GCF of Fractions is 31/499226.Finally, GCF of Fractions for 93/338, 7750/2954 is 31/499226.