Greatest Common Factor of 909/87, 1971/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/87, 1971/448

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 909/87,1971/448

Given fractions are 909/87,1971/448

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 909,1971

Greatest Common Factor of Numerators i.e. GCF of 909,1971 is 9 .

LCM of Denominators means LCM of 87,448 as per the given fractions.

LCM of 87,448 is 38976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,1971

GCF of Fractions 909/87,1971/448 is 9/38976

3 909, 1971
3 303, 657
101, 219

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 909,1971 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,1971 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 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1,3,9,27,73,219,657,1971

Greatest Common Factor

We found the factors 909,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 909,1971 is 9.

Lets's calculate LCM of 87,448

Given numbers has no common factors except 1. So, there LCM is their product i.e 38976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/38976

Therefore, the GCF of Fractions 909/87,1971/448 is 9/38976

Least Common Multiple of 87,448 with GCF Formula

Least Common Multiple of 87,448 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 87,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,448) = 1

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

GCF(87,448) x common factors =1 x 1 = 1

LCM(87,448) = ( 87 × 448 ) / 1

LCM(87,448) = 38976 / 1

LCM(87,448) = 38976


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 909/87, 1971/448

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 909/87, 1971/448?

Answer: GCF of Numerators as per given numbers 909/87, 1971/448 is

GCF of Numerators i.e. for 909,1971 is 9

LCM of denominators i.e. for 87,448 is 38976.

Thus, GCF of Fractions is 9/38976.Finally, GCF of Fractions for 909/87, 1971/448 is 9/38976.