Greatest Common Factor of 909/972, 1409/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/972, 1409/276

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 909/972,1409/276

Given fractions are 909/972,1409/276

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 909,1409

Greatest Common Factor of Numerators i.e. GCF of 909,1409 is 1 .

LCM of Denominators means LCM of 972,276 as per the given fractions.

LCM of 972,276 is 22356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,1409

GCF of Fractions 909/972,1409/276 is 1/22356

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

Greatest Common Factor of 909,1409 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,1409 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 1409

List of positive integer factors of 1409 that divides 1409 without a remainder.

1,1409

Greatest Common Factor

We found the factors 909,1409 . The biggest common factor number is the GCF number.
So the greatest common factor 909,1409 is 1.

Lets's calculate LCM of 972,276

2 972, 276
2 486, 138
3 243, 69
81, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 23 = 22356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22356

Therefore, the GCF of Fractions 909/972,1409/276 is 1/22356

Least Common Multiple of 972,276 with GCF Formula

Least Common Multiple of 972,276 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 972,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,276) = 12

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

GCF(972,276) x common factors =12 x 1 = 12

LCM(972,276) = ( 972 × 276 ) / 12

LCM(972,276) = 268272 / 12

LCM(972,276) = 22356


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 909/972, 1409/276

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 909/972, 1409/276?

Answer: GCF of Numerators as per given numbers 909/972, 1409/276 is

GCF of Numerators i.e. for 909,1409 is 1

LCM of denominators i.e. for 972,276 is 22356.

Thus, GCF of Fractions is 1/22356.Finally, GCF of Fractions for 909/972, 1409/276 is 1/22356.