Greatest Common Factor of 3093/35, 1056/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3093/35, 1056/306

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 3093/35,1056/306

Given fractions are 3093/35,1056/306

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 3093,1056

Greatest Common Factor of Numerators i.e. GCF of 3093,1056 is 3 .

LCM of Denominators means LCM of 35,306 as per the given fractions.

LCM of 35,306 is 10710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3093,1056

GCF of Fractions 3093/35,1056/306 is 3/10710

3 3093, 1056
1031, 352

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3093,1056 By Matching Biggest Common Factor Method

Greatest Common Factor of 3093,1056 By Matching Biggest Common Factor Method

Factors of 3093

List of positive integer factors of 3093 that divides 3093 without a remainder.

1,3,1031,3093

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Greatest Common Factor

We found the factors 3093,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 3093,1056 is 3.

Lets's calculate LCM of 35,306

Given numbers has no common factors except 1. So, there LCM is their product i.e 10710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10710

Therefore, the GCF of Fractions 3093/35,1056/306 is 3/10710

Least Common Multiple of 35,306 with GCF Formula

Least Common Multiple of 35,306 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 35,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,306) = 1

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

GCF(35,306) x common factors =1 x 1 = 1

LCM(35,306) = ( 35 × 306 ) / 1

LCM(35,306) = 10710 / 1

LCM(35,306) = 10710


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 3093/35, 1056/306

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 3093/35, 1056/306?

Answer: GCF of Numerators as per given numbers 3093/35, 1056/306 is

GCF of Numerators i.e. for 3093,1056 is 3

LCM of denominators i.e. for 35,306 is 10710.

Thus, GCF of Fractions is 3/10710.Finally, GCF of Fractions for 3093/35, 1056/306 is 3/10710.