Greatest Common Factor of 3158/352, 7100/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3158/352, 7100/594

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 3158/352,7100/594

Given fractions are 3158/352,7100/594

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 3158,7100

Greatest Common Factor of Numerators i.e. GCF of 3158,7100 is 2 .

LCM of Denominators means LCM of 352,594 as per the given fractions.

LCM of 352,594 is 9504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3158,7100

GCF of Fractions 3158/352,7100/594 is 2/9504

2 3158, 7100
1579, 3550

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

Greatest Common Factor of 3158,7100 By Matching Biggest Common Factor Method

Greatest Common Factor of 3158,7100 By Matching Biggest Common Factor Method

Factors of 3158

List of positive integer factors of 3158 that divides 3158 without a remainder.

1,2,1579,3158

Factors of 7100

List of positive integer factors of 7100 that divides 7100 without a remainder.

1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100

Greatest Common Factor

We found the factors 3158,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 3158,7100 is 2.

Lets's calculate LCM of 352,594

2 352, 594
11 176, 297
16, 27

∴ So the LCM of the given numbers is 2 x 11 x 16 x 27 = 9504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9504

Therefore, the GCF of Fractions 3158/352,7100/594 is 2/9504

Least Common Multiple of 352,594 with GCF Formula

Least Common Multiple of 352,594 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 352,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,594) = 22

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

GCF(352,594) x common factors =22 x 1 = 22

LCM(352,594) = ( 352 × 594 ) / 22

LCM(352,594) = 209088 / 22

LCM(352,594) = 9504


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 3158/352, 7100/594

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 3158/352, 7100/594?

Answer: GCF of Numerators as per given numbers 3158/352, 7100/594 is

GCF of Numerators i.e. for 3158,7100 is 2

LCM of denominators i.e. for 352,594 is 9504.

Thus, GCF of Fractions is 2/9504.Finally, GCF of Fractions for 3158/352, 7100/594 is 2/9504.