Greatest Common Factor of 849/311, 9288/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/311, 9288/900

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 849/311,9288/900

Given fractions are 849/311,9288/900

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 849,9288

Greatest Common Factor of Numerators i.e. GCF of 849,9288 is 3 .

LCM of Denominators means LCM of 311,900 as per the given fractions.

LCM of 311,900 is 279900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,9288

GCF of Fractions 849/311,9288/900 is 3/279900

3 849, 9288
283, 3096

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

Greatest Common Factor of 849,9288 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,9288 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288

Greatest Common Factor

We found the factors 849,9288 . The biggest common factor number is the GCF number.
So the greatest common factor 849,9288 is 3.

Lets's calculate LCM of 311,900

Given numbers has no common factors except 1. So, there LCM is their product i.e 279900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/279900

Therefore, the GCF of Fractions 849/311,9288/900 is 3/279900

Least Common Multiple of 311,900 with GCF Formula

Least Common Multiple of 311,900 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 311,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,900) = 1

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

GCF(311,900) x common factors =1 x 1 = 1

LCM(311,900) = ( 311 × 900 ) / 1

LCM(311,900) = 279900 / 1

LCM(311,900) = 279900


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 849/311, 9288/900

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 849/311, 9288/900?

Answer: GCF of Numerators as per given numbers 849/311, 9288/900 is

GCF of Numerators i.e. for 849,9288 is 3

LCM of denominators i.e. for 311,900 is 279900.

Thus, GCF of Fractions is 3/279900.Finally, GCF of Fractions for 849/311, 9288/900 is 3/279900.