Greatest Common Factor of 325/19, 386/75, 557/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/19, 386/75, 557/45

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 325/19,386/75,557/45

Given fractions are 325/19,386/75,557/45

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 325,386,557

Greatest Common Factor of Numerators i.e. GCF of 325,386,557 is 1 .

LCM of Denominators means LCM of 19,75,45 as per the given fractions.

LCM of 19,75,45 is 4275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,386,557

GCF of Fractions 325/19,386/75,557/45 is 1/4275

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

Greatest Common Factor of 325,386,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,386,557 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 325,386,557 . The biggest common factor number is the GCF number.
So the greatest common factor 325,386,557 is 1.

Lets's calculate LCM of 19,75,45

3 19, 75, 45
5 19, 25, 15
19, 5, 3

∴ So the LCM of the given numbers is 3 x 5 x 19 x 5 x 3 = 4275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4275

Therefore, the GCF of Fractions 325/19,386/75,557/45 is 1/4275

Least Common Multiple of 19,75,45 with GCF Formula

Least Common Multiple of 19,75,45 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 19,75,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,75,45) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(19,75,45) x common factors =1 x 15 = 15

LCM(19,75,45) = ( 19 × 75 × 45 ) / 15

LCM(19,75,45) = 64125 / 15

LCM(19,75,45) = 4275


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 325/19, 386/75, 557/45

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 325/19, 386/75, 557/45?

Answer: GCF of Numerators as per given numbers 325/19, 386/75, 557/45 is

GCF of Numerators i.e. for 325,386,557 is 1

LCM of denominators i.e. for 19,75,45 is 4275.

Thus, GCF of Fractions is 1/4275.Finally, GCF of Fractions for 325/19, 386/75, 557/45 is 1/4275.