Greatest Common Factor of 2792/396, 2098/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2792/396, 2098/364

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 2792/396,2098/364

Given fractions are 2792/396,2098/364

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 2792,2098

Greatest Common Factor of Numerators i.e. GCF of 2792,2098 is 2 .

LCM of Denominators means LCM of 396,364 as per the given fractions.

LCM of 396,364 is 36036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2792,2098

GCF of Fractions 2792/396,2098/364 is 2/36036

2 2792, 2098
1396, 1049

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

Greatest Common Factor of 2792,2098 By Matching Biggest Common Factor Method

Greatest Common Factor of 2792,2098 By Matching Biggest Common Factor Method

Factors of 2792

List of positive integer factors of 2792 that divides 2792 without a remainder.

1,2,4,8,349,698,1396,2792

Factors of 2098

List of positive integer factors of 2098 that divides 2098 without a remainder.

1,2,1049,2098

Greatest Common Factor

We found the factors 2792,2098 . The biggest common factor number is the GCF number.
So the greatest common factor 2792,2098 is 2.

Lets's calculate LCM of 396,364

2 396, 364
2 198, 182
99, 91

∴ So the LCM of the given numbers is 2 x 2 x 99 x 91 = 36036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36036

Therefore, the GCF of Fractions 2792/396,2098/364 is 2/36036

Least Common Multiple of 396,364 with GCF Formula

Least Common Multiple of 396,364 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 396,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,364) = 4

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

GCF(396,364) x common factors =4 x 1 = 4

LCM(396,364) = ( 396 × 364 ) / 4

LCM(396,364) = 144144 / 4

LCM(396,364) = 36036


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 2792/396, 2098/364

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 2792/396, 2098/364?

Answer: GCF of Numerators as per given numbers 2792/396, 2098/364 is

GCF of Numerators i.e. for 2792,2098 is 2

LCM of denominators i.e. for 396,364 is 36036.

Thus, GCF of Fractions is 2/36036.Finally, GCF of Fractions for 2792/396, 2098/364 is 2/36036.