Greatest Common Factor of 945/311, 2674/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 945/311, 2674/448

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 945/311,2674/448

Given fractions are 945/311,2674/448

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 945,2674

Greatest Common Factor of Numerators i.e. GCF of 945,2674 is 7 .

LCM of Denominators means LCM of 311,448 as per the given fractions.

LCM of 311,448 is 139328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 945,2674

GCF of Fractions 945/311,2674/448 is 7/139328

7 945, 2674
135, 382

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 945,2674 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,2674 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1,2,7,14,191,382,1337,2674

Greatest Common Factor

We found the factors 945,2674 . The biggest common factor number is the GCF number.
So the greatest common factor 945,2674 is 7.

Lets's calculate LCM of 311,448

Given numbers has no common factors except 1. So, there LCM is their product i.e 139328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/139328

Therefore, the GCF of Fractions 945/311,2674/448 is 7/139328

Least Common Multiple of 311,448 with GCF Formula

Least Common Multiple of 311,448 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 311,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,448) = 1

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

GCF(311,448) x common factors =1 x 1 = 1

LCM(311,448) = ( 311 × 448 ) / 1

LCM(311,448) = 139328 / 1

LCM(311,448) = 139328


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 945/311, 2674/448

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 945/311, 2674/448?

Answer: GCF of Numerators as per given numbers 945/311, 2674/448 is

GCF of Numerators i.e. for 945,2674 is 7

LCM of denominators i.e. for 311,448 is 139328.

Thus, GCF of Fractions is 7/139328.Finally, GCF of Fractions for 945/311, 2674/448 is 7/139328.