Greatest Common Factor of 273/280, 147/528, 345/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/280, 147/528, 345/568

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 273/280,147/528,345/568

Given fractions are 273/280,147/528,345/568

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 273,147,345

Greatest Common Factor of Numerators i.e. GCF of 273,147,345 is 3 .

LCM of Denominators means LCM of 280,528,568 as per the given fractions.

LCM of 280,528,568 is 1312080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,147,345

GCF of Fractions 273/280,147/528,345/568 is 3/1312080

3 273, 147, 345
91, 49, 115

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

Greatest Common Factor of 273,147,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,147,345 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 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 273,147,345 . The biggest common factor number is the GCF number.
So the greatest common factor 273,147,345 is 3.

Lets's calculate LCM of 280,528,568

2 280, 528, 568
2 140, 264, 284
2 70, 132, 142
35, 66, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 35 x 66 x 71 = 1312080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1312080

Therefore, the GCF of Fractions 273/280,147/528,345/568 is 3/1312080

Least Common Multiple of 280,528,568 with GCF Formula

Least Common Multiple of 280,528,568 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 280,528,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,528,568) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(280,528,568) x common factors =8 x 8 = 64

LCM(280,528,568) = ( 280 × 528 × 568 ) / 64

LCM(280,528,568) = 83973120 / 64

LCM(280,528,568) = 1312080


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 273/280, 147/528, 345/568

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 273/280, 147/528, 345/568?

Answer: GCF of Numerators as per given numbers 273/280, 147/528, 345/568 is

GCF of Numerators i.e. for 273,147,345 is 3

LCM of denominators i.e. for 280,528,568 is 1312080.

Thus, GCF of Fractions is 3/1312080.Finally, GCF of Fractions for 273/280, 147/528, 345/568 is 3/1312080.