Greatest Common Factor of 4015/95, 5475/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4015/95, 5475/392

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 4015/95,5475/392

Given fractions are 4015/95,5475/392

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 4015,5475

Greatest Common Factor of Numerators i.e. GCF of 4015,5475 is 365 .

LCM of Denominators means LCM of 95,392 as per the given fractions.

LCM of 95,392 is 37240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4015,5475

GCF of Fractions 4015/95,5475/392 is 365/37240

5 4015, 5475
73 803, 1095
11, 15

∴ So the GCF of the given numbers is 5 x 73 = 365

Greatest Common Factor of 4015,5475 By Matching Biggest Common Factor Method

Greatest Common Factor of 4015,5475 By Matching Biggest Common Factor Method

Factors of 4015

List of positive integer factors of 4015 that divides 4015 without a remainder.

1,5,11,55,73,365,803,4015

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Greatest Common Factor

We found the factors 4015,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 4015,5475 is 365.

Lets's calculate LCM of 95,392

Given numbers has no common factors except 1. So, there LCM is their product i.e 37240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 365/37240

Therefore, the GCF of Fractions 4015/95,5475/392 is 365/37240

Least Common Multiple of 95,392 with GCF Formula

Least Common Multiple of 95,392 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 95,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,392) = 1

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

GCF(95,392) x common factors =1 x 1 = 1

LCM(95,392) = ( 95 × 392 ) / 1

LCM(95,392) = 37240 / 1

LCM(95,392) = 37240


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 4015/95, 5475/392

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 4015/95, 5475/392?

Answer: GCF of Numerators as per given numbers 4015/95, 5475/392 is

GCF of Numerators i.e. for 4015,5475 is 365

LCM of denominators i.e. for 95,392 is 37240.

Thus, GCF of Fractions is 365/37240.Finally, GCF of Fractions for 4015/95, 5475/392 is 365/37240.