Greatest Common Factor of 755/395, 560/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 755/395, 560/225

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 755/395,560/225

Given fractions are 755/395,560/225

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 755,560

Greatest Common Factor of Numerators i.e. GCF of 755,560 is 5 .

LCM of Denominators means LCM of 395,225 as per the given fractions.

LCM of 395,225 is 17775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 755,560

GCF of Fractions 755/395,560/225 is 5/17775

5 755, 560
151, 112

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

Greatest Common Factor of 755,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,560 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 755,560 . The biggest common factor number is the GCF number.
So the greatest common factor 755,560 is 5.

Lets's calculate LCM of 395,225

5 395, 225
79, 45

∴ So the LCM of the given numbers is 5 x 79 x 45 = 17775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17775

Therefore, the GCF of Fractions 755/395,560/225 is 5/17775

Least Common Multiple of 395,225 with GCF Formula

Least Common Multiple of 395,225 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 395,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,225) = 5

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

GCF(395,225) x common factors =5 x 1 = 5

LCM(395,225) = ( 395 × 225 ) / 5

LCM(395,225) = 88875 / 5

LCM(395,225) = 17775


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 755/395, 560/225

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 755/395, 560/225?

Answer: GCF of Numerators as per given numbers 755/395, 560/225 is

GCF of Numerators i.e. for 755,560 is 5

LCM of denominators i.e. for 395,225 is 17775.

Thus, GCF of Fractions is 5/17775.Finally, GCF of Fractions for 755/395, 560/225 is 5/17775.