Greatest Common Factor of 273/143, 9828/8632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/143, 9828/8632

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 273/143,9828/8632

Given fractions are 273/143,9828/8632

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 273,9828

Greatest Common Factor of Numerators i.e. GCF of 273,9828 is 273 .

LCM of Denominators means LCM of 143,8632 as per the given fractions.

LCM of 143,8632 is 94952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,9828

GCF of Fractions 273/143,9828/8632 is 273/94952

3 273, 9828
7 91, 3276
13 13, 468
1, 36

∴ So the GCF of the given numbers is 3 x 7 x 13 = 273

Greatest Common Factor of 273,9828 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,9828 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Greatest Common Factor

We found the factors 273,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 273,9828 is 273.

Lets's calculate LCM of 143,8632

13 143, 8632
11, 664

∴ So the LCM of the given numbers is 13 x 11 x 664 = 94952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 273/94952

Therefore, the GCF of Fractions 273/143,9828/8632 is 273/94952

Least Common Multiple of 143,8632 with GCF Formula

Least Common Multiple of 143,8632 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 143,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,8632) = 13

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

GCF(143,8632) x common factors =13 x 1 = 13

LCM(143,8632) = ( 143 × 8632 ) / 13

LCM(143,8632) = 1234376 / 13

LCM(143,8632) = 94952


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 273/143, 9828/8632

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 273/143, 9828/8632?

Answer: GCF of Numerators as per given numbers 273/143, 9828/8632 is

GCF of Numerators i.e. for 273,9828 is 273

LCM of denominators i.e. for 143,8632 is 94952.

Thus, GCF of Fractions is 273/94952.Finally, GCF of Fractions for 273/143, 9828/8632 is 273/94952.