Greatest Common Factor of 1479/270, 7826/3998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1479/270, 7826/3998

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 1479/270,7826/3998

Given fractions are 1479/270,7826/3998

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 1479,7826

Greatest Common Factor of Numerators i.e. GCF of 1479,7826 is 1 .

LCM of Denominators means LCM of 270,3998 as per the given fractions.

LCM of 270,3998 is 539730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1479,7826

GCF of Fractions 1479/270,7826/3998 is 1/539730

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

Greatest Common Factor of 1479,7826 By Matching Biggest Common Factor Method

Greatest Common Factor of 1479,7826 By Matching Biggest Common Factor Method

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1,3,17,29,51,87,493,1479

Factors of 7826

List of positive integer factors of 7826 that divides 7826 without a remainder.

1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826

Greatest Common Factor

We found the factors 1479,7826 . The biggest common factor number is the GCF number.
So the greatest common factor 1479,7826 is 1.

Lets's calculate LCM of 270,3998

2 270, 3998
135, 1999

∴ So the LCM of the given numbers is 2 x 135 x 1999 = 539730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539730

Therefore, the GCF of Fractions 1479/270,7826/3998 is 1/539730

Least Common Multiple of 270,3998 with GCF Formula

Least Common Multiple of 270,3998 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 270,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,3998) = 2

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

GCF(270,3998) x common factors =2 x 1 = 2

LCM(270,3998) = ( 270 × 3998 ) / 2

LCM(270,3998) = 1079460 / 2

LCM(270,3998) = 539730


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 1479/270, 7826/3998

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 1479/270, 7826/3998?

Answer: GCF of Numerators as per given numbers 1479/270, 7826/3998 is

GCF of Numerators i.e. for 1479,7826 is 1

LCM of denominators i.e. for 270,3998 is 539730.

Thus, GCF of Fractions is 1/539730.Finally, GCF of Fractions for 1479/270, 7826/3998 is 1/539730.