Greatest Common Factor of 14/282, 389/580, 876/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/282, 389/580, 876/292

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 14/282,389/580,876/292

Given fractions are 14/282,389/580,876/292

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 14,389,876

Greatest Common Factor of Numerators i.e. GCF of 14,389,876 is 1 .

LCM of Denominators means LCM of 282,580,292 as per the given fractions.

LCM of 282,580,292 is 5969940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,389,876

GCF of Fractions 14/282,389/580,876/292 is 1/5969940

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

Greatest Common Factor of 14,389,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,389,876 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 14,389,876 . The biggest common factor number is the GCF number.
So the greatest common factor 14,389,876 is 1.

Lets's calculate LCM of 282,580,292

2 282, 580, 292
2 141, 290, 146
141, 145, 73

∴ So the LCM of the given numbers is 2 x 2 x 141 x 145 x 73 = 5969940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5969940

Therefore, the GCF of Fractions 14/282,389/580,876/292 is 1/5969940

Least Common Multiple of 282,580,292 with GCF Formula

Least Common Multiple of 282,580,292 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 282,580,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,580,292) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(282,580,292) x common factors =2 x 4 = 8

LCM(282,580,292) = ( 282 × 580 × 292 ) / 8

LCM(282,580,292) = 47759520 / 8

LCM(282,580,292) = 5969940


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 14/282, 389/580, 876/292

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 14/282, 389/580, 876/292?

Answer: GCF of Numerators as per given numbers 14/282, 389/580, 876/292 is

GCF of Numerators i.e. for 14,389,876 is 1

LCM of denominators i.e. for 282,580,292 is 5969940.

Thus, GCF of Fractions is 1/5969940.Finally, GCF of Fractions for 14/282, 389/580, 876/292 is 1/5969940.