Greatest Common Factor of 10/275, 45/389, 854/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/275, 45/389, 854/738

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 10/275,45/389,854/738

Given fractions are 10/275,45/389,854/738

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 10,45,854

Greatest Common Factor of Numerators i.e. GCF of 10,45,854 is 1 .

LCM of Denominators means LCM of 275,389,738 as per the given fractions.

LCM of 275,389,738 is 78947550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,45,854

GCF of Fractions 10/275,45/389,854/738 is 1/78947550

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

Greatest Common Factor of 10,45,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,45,854 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 45

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

1,3,5,9,15,45

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 10,45,854 . The biggest common factor number is the GCF number.
So the greatest common factor 10,45,854 is 1.

Lets's calculate LCM of 275,389,738

Given numbers has no common factors except 1. So, there LCM is their product i.e 78947550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78947550

Therefore, the GCF of Fractions 10/275,45/389,854/738 is 1/78947550

Least Common Multiple of 275,389,738 with GCF Formula

Least Common Multiple of 275,389,738 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 275,389,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,389,738) = 1

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

GCF(275,389,738) x common factors =1 x 1 = 1

LCM(275,389,738) = ( 275 × 389 × 738 ) / 1

LCM(275,389,738) = 78947550 / 1

LCM(275,389,738) = 78947550


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 10/275, 45/389, 854/738

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 10/275, 45/389, 854/738?

Answer: GCF of Numerators as per given numbers 10/275, 45/389, 854/738 is

GCF of Numerators i.e. for 10,45,854 is 1

LCM of denominators i.e. for 275,389,738 is 78947550.

Thus, GCF of Fractions is 1/78947550.Finally, GCF of Fractions for 10/275, 45/389, 854/738 is 1/78947550.