Greatest Common Factor of 83/23, 240/34, 292/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/23, 240/34, 292/546

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 83/23,240/34,292/546

Given fractions are 83/23,240/34,292/546

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 83,240,292

Greatest Common Factor of Numerators i.e. GCF of 83,240,292 is 1 .

LCM of Denominators means LCM of 23,34,546 as per the given fractions.

LCM of 23,34,546 is 213486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,240,292

GCF of Fractions 83/23,240/34,292/546 is 1/213486

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

Greatest Common Factor of 83,240,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,240,292 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 83,240,292 . The biggest common factor number is the GCF number.
So the greatest common factor 83,240,292 is 1.

Lets's calculate LCM of 23,34,546

2 23, 34, 546
23, 17, 273

∴ So the LCM of the given numbers is 2 x 23 x 17 x 273 = 213486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213486

Therefore, the GCF of Fractions 83/23,240/34,292/546 is 1/213486

Least Common Multiple of 23,34,546 with GCF Formula

Least Common Multiple of 23,34,546 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 23,34,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,34,546) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,34,546) x common factors =1 x 2 = 2

LCM(23,34,546) = ( 23 × 34 × 546 ) / 2

LCM(23,34,546) = 426972 / 2

LCM(23,34,546) = 213486


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 83/23, 240/34, 292/546

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 83/23, 240/34, 292/546?

Answer: GCF of Numerators as per given numbers 83/23, 240/34, 292/546 is

GCF of Numerators i.e. for 83,240,292 is 1

LCM of denominators i.e. for 23,34,546 is 213486.

Thus, GCF of Fractions is 1/213486.Finally, GCF of Fractions for 83/23, 240/34, 292/546 is 1/213486.