Greatest Common Factor of 4940/355, 3268/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4940/355, 3268/298

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 4940/355,3268/298

Given fractions are 4940/355,3268/298

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 4940,3268

Greatest Common Factor of Numerators i.e. GCF of 4940,3268 is 76 .

LCM of Denominators means LCM of 355,298 as per the given fractions.

LCM of 355,298 is 105790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4940,3268

GCF of Fractions 4940/355,3268/298 is 76/105790

2 4940, 3268
2 2470, 1634
19 1235, 817
65, 43

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Greatest Common Factor of 4940,3268 By Matching Biggest Common Factor Method

Greatest Common Factor of 4940,3268 By Matching Biggest Common Factor Method

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940

Factors of 3268

List of positive integer factors of 3268 that divides 3268 without a remainder.

1,2,4,19,38,43,76,86,172,817,1634,3268

Greatest Common Factor

We found the factors 4940,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 4940,3268 is 76.

Lets's calculate LCM of 355,298

Given numbers has no common factors except 1. So, there LCM is their product i.e 105790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/105790

Therefore, the GCF of Fractions 4940/355,3268/298 is 76/105790

Least Common Multiple of 355,298 with GCF Formula

Least Common Multiple of 355,298 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 355,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,298) = 1

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

GCF(355,298) x common factors =1 x 1 = 1

LCM(355,298) = ( 355 × 298 ) / 1

LCM(355,298) = 105790 / 1

LCM(355,298) = 105790


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 4940/355, 3268/298

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 4940/355, 3268/298?

Answer: GCF of Numerators as per given numbers 4940/355, 3268/298 is

GCF of Numerators i.e. for 4940,3268 is 76

LCM of denominators i.e. for 355,298 is 105790.

Thus, GCF of Fractions is 76/105790.Finally, GCF of Fractions for 4940/355, 3268/298 is 76/105790.