Greatest Common Factor of 448/311, 694/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/311, 694/876

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 448/311,694/876

Given fractions are 448/311,694/876

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 448,694

Greatest Common Factor of Numerators i.e. GCF of 448,694 is 2 .

LCM of Denominators means LCM of 311,876 as per the given fractions.

LCM of 311,876 is 272436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,694

GCF of Fractions 448/311,694/876 is 2/272436

2 448, 694
224, 347

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

Greatest Common Factor of 448,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,694 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 448,694 . The biggest common factor number is the GCF number.
So the greatest common factor 448,694 is 2.

Lets's calculate LCM of 311,876

Given numbers has no common factors except 1. So, there LCM is their product i.e 272436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/272436

Therefore, the GCF of Fractions 448/311,694/876 is 2/272436

Least Common Multiple of 311,876 with GCF Formula

Least Common Multiple of 311,876 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 311,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,876) = 1

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

GCF(311,876) x common factors =1 x 1 = 1

LCM(311,876) = ( 311 × 876 ) / 1

LCM(311,876) = 272436 / 1

LCM(311,876) = 272436


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 448/311, 694/876

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 448/311, 694/876?

Answer: GCF of Numerators as per given numbers 448/311, 694/876 is

GCF of Numerators i.e. for 448,694 is 2

LCM of denominators i.e. for 311,876 is 272436.

Thus, GCF of Fractions is 2/272436.Finally, GCF of Fractions for 448/311, 694/876 is 2/272436.