Greatest Common Factor of 2788/98, 7472/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2788/98, 7472/305

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 2788/98,7472/305

Given fractions are 2788/98,7472/305

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 2788,7472

Greatest Common Factor of Numerators i.e. GCF of 2788,7472 is 4 .

LCM of Denominators means LCM of 98,305 as per the given fractions.

LCM of 98,305 is 29890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2788,7472

GCF of Fractions 2788/98,7472/305 is 4/29890

2 2788, 7472
2 1394, 3736
697, 1868

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2788,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 2788,7472 By Matching Biggest Common Factor Method

Factors of 2788

List of positive integer factors of 2788 that divides 2788 without a remainder.

1,2,4,17,34,41,68,82,164,697,1394,2788

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 2788,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 2788,7472 is 4.

Lets's calculate LCM of 98,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 29890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29890

Therefore, the GCF of Fractions 2788/98,7472/305 is 4/29890

Least Common Multiple of 98,305 with GCF Formula

Least Common Multiple of 98,305 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 98,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,305) = 1

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

GCF(98,305) x common factors =1 x 1 = 1

LCM(98,305) = ( 98 × 305 ) / 1

LCM(98,305) = 29890 / 1

LCM(98,305) = 29890


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 2788/98, 7472/305

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 2788/98, 7472/305?

Answer: GCF of Numerators as per given numbers 2788/98, 7472/305 is

GCF of Numerators i.e. for 2788,7472 is 4

LCM of denominators i.e. for 98,305 is 29890.

Thus, GCF of Fractions is 4/29890.Finally, GCF of Fractions for 2788/98, 7472/305 is 4/29890.