Greatest Common Factor of 354/48, 777/86, 568/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 354/48, 777/86, 568/186

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 354/48,777/86,568/186

Given fractions are 354/48,777/86,568/186

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 354,777,568

Greatest Common Factor of Numerators i.e. GCF of 354,777,568 is 1 .

LCM of Denominators means LCM of 48,86,186 as per the given fractions.

LCM of 48,86,186 is 63984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 354,777,568

GCF of Fractions 354/48,777/86,568/186 is 1/63984

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 354,777,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,777,568 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 354,777,568 . The biggest common factor number is the GCF number.
So the greatest common factor 354,777,568 is 1.

Lets's calculate LCM of 48,86,186

2 48, 86, 186
3 24, 43, 93
8, 43, 31

∴ So the LCM of the given numbers is 2 x 3 x 8 x 43 x 31 = 63984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63984

Therefore, the GCF of Fractions 354/48,777/86,568/186 is 1/63984

Least Common Multiple of 48,86,186 with GCF Formula

Least Common Multiple of 48,86,186 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 48,86,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,86,186) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(48,86,186) x common factors =2 x 6 = 12

LCM(48,86,186) = ( 48 × 86 × 186 ) / 12

LCM(48,86,186) = 767808 / 12

LCM(48,86,186) = 63984


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 354/48, 777/86, 568/186

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 354/48, 777/86, 568/186?

Answer: GCF of Numerators as per given numbers 354/48, 777/86, 568/186 is

GCF of Numerators i.e. for 354,777,568 is 1

LCM of denominators i.e. for 48,86,186 is 63984.

Thus, GCF of Fractions is 1/63984.Finally, GCF of Fractions for 354/48, 777/86, 568/186 is 1/63984.