Greatest Common Factor of 45/795, 3578/5714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/795, 3578/5714

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 45/795,3578/5714

Given fractions are 45/795,3578/5714

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 45,3578

Greatest Common Factor of Numerators i.e. GCF of 45,3578 is 1 .

LCM of Denominators means LCM of 795,5714 as per the given fractions.

LCM of 795,5714 is 4542630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,3578

GCF of Fractions 45/795,3578/5714 is 1/4542630

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

Greatest Common Factor of 45,3578 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3578 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 3578

List of positive integer factors of 3578 that divides 3578 without a remainder.

1,2,1789,3578

Greatest Common Factor

We found the factors 45,3578 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3578 is 1.

Lets's calculate LCM of 795,5714

Given numbers has no common factors except 1. So, there LCM is their product i.e 4542630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4542630

Therefore, the GCF of Fractions 45/795,3578/5714 is 1/4542630

Least Common Multiple of 795,5714 with GCF Formula

Least Common Multiple of 795,5714 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 795,5714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,5714) = 1

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

GCF(795,5714) x common factors =1 x 1 = 1

LCM(795,5714) = ( 795 × 5714 ) / 1

LCM(795,5714) = 4542630 / 1

LCM(795,5714) = 4542630


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 45/795, 3578/5714

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 45/795, 3578/5714?

Answer: GCF of Numerators as per given numbers 45/795, 3578/5714 is

GCF of Numerators i.e. for 45,3578 is 1

LCM of denominators i.e. for 795,5714 is 4542630.

Thus, GCF of Fractions is 1/4542630.Finally, GCF of Fractions for 45/795, 3578/5714 is 1/4542630.