Greatest Common Factor of 3056/534, 6828/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3056/534, 6828/412

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 3056/534,6828/412

Given fractions are 3056/534,6828/412

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 3056,6828

Greatest Common Factor of Numerators i.e. GCF of 3056,6828 is 4 .

LCM of Denominators means LCM of 534,412 as per the given fractions.

LCM of 534,412 is 110004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3056,6828

GCF of Fractions 3056/534,6828/412 is 4/110004

2 3056, 6828
2 1528, 3414
764, 1707

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3056,6828 By Matching Biggest Common Factor Method

Greatest Common Factor of 3056,6828 By Matching Biggest Common Factor Method

Factors of 3056

List of positive integer factors of 3056 that divides 3056 without a remainder.

1,2,4,8,16,191,382,764,1528,3056

Factors of 6828

List of positive integer factors of 6828 that divides 6828 without a remainder.

1,2,3,4,6,12,569,1138,1707,2276,3414,6828

Greatest Common Factor

We found the factors 3056,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 3056,6828 is 4.

Lets's calculate LCM of 534,412

2 534, 412
267, 206

∴ So the LCM of the given numbers is 2 x 267 x 206 = 110004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/110004

Therefore, the GCF of Fractions 3056/534,6828/412 is 4/110004

Least Common Multiple of 534,412 with GCF Formula

Least Common Multiple of 534,412 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 534,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,412) = 2

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

GCF(534,412) x common factors =2 x 1 = 2

LCM(534,412) = ( 534 × 412 ) / 2

LCM(534,412) = 220008 / 2

LCM(534,412) = 110004


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 3056/534, 6828/412

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 3056/534, 6828/412?

Answer: GCF of Numerators as per given numbers 3056/534, 6828/412 is

GCF of Numerators i.e. for 3056,6828 is 4

LCM of denominators i.e. for 534,412 is 110004.

Thus, GCF of Fractions is 4/110004.Finally, GCF of Fractions for 3056/534, 6828/412 is 4/110004.