Greatest Common Factor of 2958/710, 2348/3190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2958/710, 2348/3190

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 2958/710,2348/3190

Given fractions are 2958/710,2348/3190

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 2958,2348

Greatest Common Factor of Numerators i.e. GCF of 2958,2348 is 2 .

LCM of Denominators means LCM of 710,3190 as per the given fractions.

LCM of 710,3190 is 226490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2958,2348

GCF of Fractions 2958/710,2348/3190 is 2/226490

2 2958, 2348
1479, 1174

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

Greatest Common Factor of 2958,2348 By Matching Biggest Common Factor Method

Greatest Common Factor of 2958,2348 By Matching Biggest Common Factor Method

Factors of 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

Factors of 2348

List of positive integer factors of 2348 that divides 2348 without a remainder.

1,2,4,587,1174,2348

Greatest Common Factor

We found the factors 2958,2348 . The biggest common factor number is the GCF number.
So the greatest common factor 2958,2348 is 2.

Lets's calculate LCM of 710,3190

2 710, 3190
5 355, 1595
71, 319

∴ So the LCM of the given numbers is 2 x 5 x 71 x 319 = 226490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/226490

Therefore, the GCF of Fractions 2958/710,2348/3190 is 2/226490

Least Common Multiple of 710,3190 with GCF Formula

Least Common Multiple of 710,3190 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 710,3190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,3190) = 10

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

GCF(710,3190) x common factors =10 x 1 = 10

LCM(710,3190) = ( 710 × 3190 ) / 10

LCM(710,3190) = 2264900 / 10

LCM(710,3190) = 226490


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2958/710, 2348/3190

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 2958/710, 2348/3190?

Answer: GCF of Numerators as per given numbers 2958/710, 2348/3190 is

GCF of Numerators i.e. for 2958,2348 is 2

LCM of denominators i.e. for 710,3190 is 226490.

Thus, GCF of Fractions is 2/226490.Finally, GCF of Fractions for 2958/710, 2348/3190 is 2/226490.