Greatest Common Factor of 1542/28, 4812/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1542/28, 4812/263

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 1542/28,4812/263

Given fractions are 1542/28,4812/263

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 1542,4812

Greatest Common Factor of Numerators i.e. GCF of 1542,4812 is 6 .

LCM of Denominators means LCM of 28,263 as per the given fractions.

LCM of 28,263 is 7364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1542,4812

GCF of Fractions 1542/28,4812/263 is 6/7364

2 1542, 4812
3 771, 2406
257, 802

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1542,4812 By Matching Biggest Common Factor Method

Greatest Common Factor of 1542,4812 By Matching Biggest Common Factor Method

Factors of 1542

List of positive integer factors of 1542 that divides 1542 without a remainder.

1,2,3,6,257,514,771,1542

Factors of 4812

List of positive integer factors of 4812 that divides 4812 without a remainder.

1,2,3,4,6,12,401,802,1203,1604,2406,4812

Greatest Common Factor

We found the factors 1542,4812 . The biggest common factor number is the GCF number.
So the greatest common factor 1542,4812 is 6.

Lets's calculate LCM of 28,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 7364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7364

Therefore, the GCF of Fractions 1542/28,4812/263 is 6/7364

Least Common Multiple of 28,263 with GCF Formula

Least Common Multiple of 28,263 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 28,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,263) = 1

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

GCF(28,263) x common factors =1 x 1 = 1

LCM(28,263) = ( 28 × 263 ) / 1

LCM(28,263) = 7364 / 1

LCM(28,263) = 7364


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 1542/28, 4812/263

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 1542/28, 4812/263?

Answer: GCF of Numerators as per given numbers 1542/28, 4812/263 is

GCF of Numerators i.e. for 1542,4812 is 6

LCM of denominators i.e. for 28,263 is 7364.

Thus, GCF of Fractions is 6/7364.Finally, GCF of Fractions for 1542/28, 4812/263 is 6/7364.