Greatest Common Factor of 3075/111, 1679/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3075/111, 1679/485

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 3075/111,1679/485

Given fractions are 3075/111,1679/485

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 3075,1679

Greatest Common Factor of Numerators i.e. GCF of 3075,1679 is 1 .

LCM of Denominators means LCM of 111,485 as per the given fractions.

LCM of 111,485 is 53835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3075,1679

GCF of Fractions 3075/111,1679/485 is 1/53835

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

Greatest Common Factor of 3075,1679 By Matching Biggest Common Factor Method

Greatest Common Factor of 3075,1679 By Matching Biggest Common Factor Method

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Factors of 1679

List of positive integer factors of 1679 that divides 1679 without a remainder.

1,23,73,1679

Greatest Common Factor

We found the factors 3075,1679 . The biggest common factor number is the GCF number.
So the greatest common factor 3075,1679 is 1.

Lets's calculate LCM of 111,485

Given numbers has no common factors except 1. So, there LCM is their product i.e 53835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53835

Therefore, the GCF of Fractions 3075/111,1679/485 is 1/53835

Least Common Multiple of 111,485 with GCF Formula

Least Common Multiple of 111,485 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 111,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,485) = 1

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

GCF(111,485) x common factors =1 x 1 = 1

LCM(111,485) = ( 111 × 485 ) / 1

LCM(111,485) = 53835 / 1

LCM(111,485) = 53835


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 3075/111, 1679/485

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 3075/111, 1679/485?

Answer: GCF of Numerators as per given numbers 3075/111, 1679/485 is

GCF of Numerators i.e. for 3075,1679 is 1

LCM of denominators i.e. for 111,485 is 53835.

Thus, GCF of Fractions is 1/53835.Finally, GCF of Fractions for 3075/111, 1679/485 is 1/53835.