Greatest Common Factor of 369/910, 907/586, 380/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 369/910, 907/586, 380/275

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 369/910,907/586,380/275

Given fractions are 369/910,907/586,380/275

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 369,907,380

Greatest Common Factor of Numerators i.e. GCF of 369,907,380 is 1 .

LCM of Denominators means LCM of 910,586,275 as per the given fractions.

LCM of 910,586,275 is 14664650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 369,907,380

GCF of Fractions 369/910,907/586,380/275 is 1/14664650

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

Greatest Common Factor of 369,907,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,907,380 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 369,907,380 . The biggest common factor number is the GCF number.
So the greatest common factor 369,907,380 is 1.

Lets's calculate LCM of 910,586,275

2 910, 586, 275
5 455, 293, 275
91, 293, 55

∴ So the LCM of the given numbers is 2 x 5 x 91 x 293 x 55 = 14664650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14664650

Therefore, the GCF of Fractions 369/910,907/586,380/275 is 1/14664650

Least Common Multiple of 910,586,275 with GCF Formula

Least Common Multiple of 910,586,275 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 910,586,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,586,275) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(910,586,275) x common factors =1 x 10 = 10

LCM(910,586,275) = ( 910 × 586 × 275 ) / 10

LCM(910,586,275) = 146646500 / 10

LCM(910,586,275) = 14664650


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 369/910, 907/586, 380/275

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 369/910, 907/586, 380/275?

Answer: GCF of Numerators as per given numbers 369/910, 907/586, 380/275 is

GCF of Numerators i.e. for 369,907,380 is 1

LCM of denominators i.e. for 910,586,275 is 14664650.

Thus, GCF of Fractions is 1/14664650.Finally, GCF of Fractions for 369/910, 907/586, 380/275 is 1/14664650.