Greatest Common Factor of 270/419, 5480/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/419, 5480/716

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 270/419,5480/716

Given fractions are 270/419,5480/716

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 270,5480

Greatest Common Factor of Numerators i.e. GCF of 270,5480 is 10 .

LCM of Denominators means LCM of 419,716 as per the given fractions.

LCM of 419,716 is 300004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,5480

GCF of Fractions 270/419,5480/716 is 10/300004

2 270, 5480
5 135, 2740
27, 548

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 270,5480 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,5480 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

Greatest Common Factor

We found the factors 270,5480 . The biggest common factor number is the GCF number.
So the greatest common factor 270,5480 is 10.

Lets's calculate LCM of 419,716

Given numbers has no common factors except 1. So, there LCM is their product i.e 300004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/300004

Therefore, the GCF of Fractions 270/419,5480/716 is 10/300004

Least Common Multiple of 419,716 with GCF Formula

Least Common Multiple of 419,716 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 419,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,716) = 1

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

GCF(419,716) x common factors =1 x 1 = 1

LCM(419,716) = ( 419 × 716 ) / 1

LCM(419,716) = 300004 / 1

LCM(419,716) = 300004


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 270/419, 5480/716

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 270/419, 5480/716?

Answer: GCF of Numerators as per given numbers 270/419, 5480/716 is

GCF of Numerators i.e. for 270,5480 is 10

LCM of denominators i.e. for 419,716 is 300004.

Thus, GCF of Fractions is 10/300004.Finally, GCF of Fractions for 270/419, 5480/716 is 10/300004.