Greatest Common Factor of 642/711, 428/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/711, 428/798

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 642/711,428/798

Given fractions are 642/711,428/798

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 642,428

Greatest Common Factor of Numerators i.e. GCF of 642,428 is 214 .

LCM of Denominators means LCM of 711,798 as per the given fractions.

LCM of 711,798 is 189126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,428

GCF of Fractions 642/711,428/798 is 214/189126

2 642, 428
107 321, 214
3, 2

∴ So the GCF of the given numbers is 2 x 107 = 214

Greatest Common Factor of 642,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,428 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 642,428 . The biggest common factor number is the GCF number.
So the greatest common factor 642,428 is 214.

Lets's calculate LCM of 711,798

3 711, 798
237, 266

∴ So the LCM of the given numbers is 3 x 237 x 266 = 189126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 214/189126

Therefore, the GCF of Fractions 642/711,428/798 is 214/189126

Least Common Multiple of 711,798 with GCF Formula

Least Common Multiple of 711,798 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 711,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,798) = 3

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

GCF(711,798) x common factors =3 x 1 = 3

LCM(711,798) = ( 711 × 798 ) / 3

LCM(711,798) = 567378 / 3

LCM(711,798) = 189126


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 642/711, 428/798

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 642/711, 428/798?

Answer: GCF of Numerators as per given numbers 642/711, 428/798 is

GCF of Numerators i.e. for 642,428 is 214

LCM of denominators i.e. for 711,798 is 189126.

Thus, GCF of Fractions is 214/189126.Finally, GCF of Fractions for 642/711, 428/798 is 214/189126.