Greatest Common Factor of 98/784, 1904/3080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/784, 1904/3080

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 98/784,1904/3080

Given fractions are 98/784,1904/3080

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 98,1904

Greatest Common Factor of Numerators i.e. GCF of 98,1904 is 14 .

LCM of Denominators means LCM of 784,3080 as per the given fractions.

LCM of 784,3080 is 43120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,1904

GCF of Fractions 98/784,1904/3080 is 14/43120

2 98, 1904
7 49, 952
7, 136

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 98,1904 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,1904 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 1904

List of positive integer factors of 1904 that divides 1904 without a remainder.

1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904

Greatest Common Factor

We found the factors 98,1904 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1904 is 14.

Lets's calculate LCM of 784,3080

2 784, 3080
2 392, 1540
2 196, 770
7 98, 385
14, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 14 x 55 = 43120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/43120

Therefore, the GCF of Fractions 98/784,1904/3080 is 14/43120

Least Common Multiple of 784,3080 with GCF Formula

Least Common Multiple of 784,3080 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 784,3080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,3080) = 56

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

GCF(784,3080) x common factors =56 x 1 = 56

LCM(784,3080) = ( 784 × 3080 ) / 56

LCM(784,3080) = 2414720 / 56

LCM(784,3080) = 43120


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 98/784, 1904/3080

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 98/784, 1904/3080?

Answer: GCF of Numerators as per given numbers 98/784, 1904/3080 is

GCF of Numerators i.e. for 98,1904 is 14

LCM of denominators i.e. for 784,3080 is 43120.

Thus, GCF of Fractions is 14/43120.Finally, GCF of Fractions for 98/784, 1904/3080 is 14/43120.