Greatest Common Factor of 5455/30, 2425/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5455/30, 2425/270

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 5455/30,2425/270

Given fractions are 5455/30,2425/270

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 5455,2425

Greatest Common Factor of Numerators i.e. GCF of 5455,2425 is 5 .

LCM of Denominators means LCM of 30,270 as per the given fractions.

LCM of 30,270 is 270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5455,2425

GCF of Fractions 5455/30,2425/270 is 5/270

5 5455, 2425
1091, 485

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5455,2425 By Matching Biggest Common Factor Method

Greatest Common Factor of 5455,2425 By Matching Biggest Common Factor Method

Factors of 5455

List of positive integer factors of 5455 that divides 5455 without a remainder.

1,5,1091,5455

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1,5,25,97,485,2425

Greatest Common Factor

We found the factors 5455,2425 . The biggest common factor number is the GCF number.
So the greatest common factor 5455,2425 is 5.

Lets's calculate LCM of 30,270

2 30, 270
3 15, 135
5 5, 45
1, 9

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 9 = 270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/270

Therefore, the GCF of Fractions 5455/30,2425/270 is 5/270

Least Common Multiple of 30,270 with GCF Formula

Least Common Multiple of 30,270 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 30,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,270) = 30

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

GCF(30,270) x common factors =30 x 1 = 30

LCM(30,270) = ( 30 × 270 ) / 30

LCM(30,270) = 8100 / 30

LCM(30,270) = 270


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 5455/30, 2425/270

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 5455/30, 2425/270?

Answer: GCF of Numerators as per given numbers 5455/30, 2425/270 is

GCF of Numerators i.e. for 5455,2425 is 5

LCM of denominators i.e. for 30,270 is 270.

Thus, GCF of Fractions is 5/270.Finally, GCF of Fractions for 5455/30, 2425/270 is 5/270.