Greatest Common Factor of 399/270, 5742/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 399/270, 5742/782

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 399/270,5742/782

Given fractions are 399/270,5742/782

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 399,5742

Greatest Common Factor of Numerators i.e. GCF of 399,5742 is 3 .

LCM of Denominators means LCM of 270,782 as per the given fractions.

LCM of 270,782 is 105570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 399,5742

GCF of Fractions 399/270,5742/782 is 3/105570

3 399, 5742
133, 1914

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

Greatest Common Factor of 399,5742 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,5742 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 5742

List of positive integer factors of 5742 that divides 5742 without a remainder.

1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742

Greatest Common Factor

We found the factors 399,5742 . The biggest common factor number is the GCF number.
So the greatest common factor 399,5742 is 3.

Lets's calculate LCM of 270,782

2 270, 782
135, 391

∴ So the LCM of the given numbers is 2 x 135 x 391 = 105570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/105570

Therefore, the GCF of Fractions 399/270,5742/782 is 3/105570

Least Common Multiple of 270,782 with GCF Formula

Least Common Multiple of 270,782 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 270,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,782) = 2

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

GCF(270,782) x common factors =2 x 1 = 2

LCM(270,782) = ( 270 × 782 ) / 2

LCM(270,782) = 211140 / 2

LCM(270,782) = 105570


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 399/270, 5742/782

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 399/270, 5742/782?

Answer: GCF of Numerators as per given numbers 399/270, 5742/782 is

GCF of Numerators i.e. for 399,5742 is 3

LCM of denominators i.e. for 270,782 is 105570.

Thus, GCF of Fractions is 3/105570.Finally, GCF of Fractions for 399/270, 5742/782 is 3/105570.