Greatest Common Factor of 4512/972, 6950/3841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4512/972, 6950/3841

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 4512/972,6950/3841

Given fractions are 4512/972,6950/3841

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 4512,6950

Greatest Common Factor of Numerators i.e. GCF of 4512,6950 is 2 .

LCM of Denominators means LCM of 972,3841 as per the given fractions.

LCM of 972,3841 is 3733452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4512,6950

GCF of Fractions 4512/972,6950/3841 is 2/3733452

2 4512, 6950
2256, 3475

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

Greatest Common Factor of 4512,6950 By Matching Biggest Common Factor Method

Greatest Common Factor of 4512,6950 By Matching Biggest Common Factor Method

Factors of 4512

List of positive integer factors of 4512 that divides 4512 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,94,96,141,188,282,376,564,752,1128,1504,2256,4512

Factors of 6950

List of positive integer factors of 6950 that divides 6950 without a remainder.

1,2,5,10,25,50,139,278,695,1390,3475,6950

Greatest Common Factor

We found the factors 4512,6950 . The biggest common factor number is the GCF number.
So the greatest common factor 4512,6950 is 2.

Lets's calculate LCM of 972,3841

Given numbers has no common factors except 1. So, there LCM is their product i.e 3733452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3733452

Therefore, the GCF of Fractions 4512/972,6950/3841 is 2/3733452

Least Common Multiple of 972,3841 with GCF Formula

Least Common Multiple of 972,3841 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 972,3841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,3841) = 1

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

GCF(972,3841) x common factors =1 x 1 = 1

LCM(972,3841) = ( 972 × 3841 ) / 1

LCM(972,3841) = 3733452 / 1

LCM(972,3841) = 3733452


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 4512/972, 6950/3841

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 4512/972, 6950/3841?

Answer: GCF of Numerators as per given numbers 4512/972, 6950/3841 is

GCF of Numerators i.e. for 4512,6950 is 2

LCM of denominators i.e. for 972,3841 is 3733452.

Thus, GCF of Fractions is 2/3733452.Finally, GCF of Fractions for 4512/972, 6950/3841 is 2/3733452.