Greatest Common Factor of 285/249, 965/669, 533/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/249, 965/669, 533/945

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 285/249,965/669,533/945

Given fractions are 285/249,965/669,533/945

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 285,965,533

Greatest Common Factor of Numerators i.e. GCF of 285,965,533 is 1 .

LCM of Denominators means LCM of 249,669,945 as per the given fractions.

LCM of 249,669,945 is 17491005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,965,533

GCF of Fractions 285/249,965/669,533/945 is 1/17491005

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

Greatest Common Factor of 285,965,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,965,533 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 285,965,533 . The biggest common factor number is the GCF number.
So the greatest common factor 285,965,533 is 1.

Lets's calculate LCM of 249,669,945

3 249, 669, 945
83, 223, 315

∴ So the LCM of the given numbers is 3 x 83 x 223 x 315 = 17491005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17491005

Therefore, the GCF of Fractions 285/249,965/669,533/945 is 1/17491005

Least Common Multiple of 249,669,945 with GCF Formula

Least Common Multiple of 249,669,945 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 249,669,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,669,945) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(249,669,945) x common factors =3 x 3 = 9

LCM(249,669,945) = ( 249 × 669 × 945 ) / 9

LCM(249,669,945) = 157419045 / 9

LCM(249,669,945) = 17491005


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 285/249, 965/669, 533/945

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 285/249, 965/669, 533/945?

Answer: GCF of Numerators as per given numbers 285/249, 965/669, 533/945 is

GCF of Numerators i.e. for 285,965,533 is 1

LCM of denominators i.e. for 249,669,945 is 17491005.

Thus, GCF of Fractions is 1/17491005.Finally, GCF of Fractions for 285/249, 965/669, 533/945 is 1/17491005.