Greatest Common Factor of 78/189, 194/526, 508/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/189, 194/526, 508/981

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 78/189,194/526,508/981

Given fractions are 78/189,194/526,508/981

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 78,194,508

Greatest Common Factor of Numerators i.e. GCF of 78,194,508 is 2 .

LCM of Denominators means LCM of 189,526,981 as per the given fractions.

LCM of 189,526,981 is 10836126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,194,508

GCF of Fractions 78/189,194/526,508/981 is 2/10836126

2 78, 194, 508
39, 97, 254

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

Greatest Common Factor of 78,194,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,194,508 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 78,194,508 . The biggest common factor number is the GCF number.
So the greatest common factor 78,194,508 is 2.

Lets's calculate LCM of 189,526,981

3 189, 526, 981
3 63, 526, 327
21, 526, 109

∴ So the LCM of the given numbers is 3 x 3 x 21 x 526 x 109 = 10836126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10836126

Therefore, the GCF of Fractions 78/189,194/526,508/981 is 2/10836126

Least Common Multiple of 189,526,981 with GCF Formula

Least Common Multiple of 189,526,981 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 189,526,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,526,981) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(189,526,981) x common factors =1 x 9 = 9

LCM(189,526,981) = ( 189 × 526 × 981 ) / 9

LCM(189,526,981) = 97525134 / 9

LCM(189,526,981) = 10836126


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 78/189, 194/526, 508/981

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 78/189, 194/526, 508/981?

Answer: GCF of Numerators as per given numbers 78/189, 194/526, 508/981 is

GCF of Numerators i.e. for 78,194,508 is 2

LCM of denominators i.e. for 189,526,981 is 10836126.

Thus, GCF of Fractions is 2/10836126.Finally, GCF of Fractions for 78/189, 194/526, 508/981 is 2/10836126.