Greatest Common Factor of 3285/852, 9301/1973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3285/852, 9301/1973

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 3285/852,9301/1973

Given fractions are 3285/852,9301/1973

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 3285,9301

Greatest Common Factor of Numerators i.e. GCF of 3285,9301 is 1 .

LCM of Denominators means LCM of 852,1973 as per the given fractions.

LCM of 852,1973 is 1680996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3285,9301

GCF of Fractions 3285/852,9301/1973 is 1/1680996

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

Greatest Common Factor of 3285,9301 By Matching Biggest Common Factor Method

Greatest Common Factor of 3285,9301 By Matching Biggest Common Factor Method

Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1,3,5,9,15,45,73,219,365,657,1095,3285

Factors of 9301

List of positive integer factors of 9301 that divides 9301 without a remainder.

1,71,131,9301

Greatest Common Factor

We found the factors 3285,9301 . The biggest common factor number is the GCF number.
So the greatest common factor 3285,9301 is 1.

Lets's calculate LCM of 852,1973

Given numbers has no common factors except 1. So, there LCM is their product i.e 1680996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680996

Therefore, the GCF of Fractions 3285/852,9301/1973 is 1/1680996

Least Common Multiple of 852,1973 with GCF Formula

Least Common Multiple of 852,1973 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 852,1973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,1973) = 1

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

GCF(852,1973) x common factors =1 x 1 = 1

LCM(852,1973) = ( 852 × 1973 ) / 1

LCM(852,1973) = 1680996 / 1

LCM(852,1973) = 1680996


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 3285/852, 9301/1973

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 3285/852, 9301/1973?

Answer: GCF of Numerators as per given numbers 3285/852, 9301/1973 is

GCF of Numerators i.e. for 3285,9301 is 1

LCM of denominators i.e. for 852,1973 is 1680996.

Thus, GCF of Fractions is 1/1680996.Finally, GCF of Fractions for 3285/852, 9301/1973 is 1/1680996.