Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/27,79/39,292/868
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 52,79,292
Greatest Common Factor of Numerators i.e. GCF of 52,79,292 is 1 .
LCM of Denominators means LCM of 27,39,868 as per the given fractions.
LCM of 27,39,868 is 304668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,79,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
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 52,79,292 . The biggest common factor number is the GCF number.
So the greatest common factor 52,79,292 is 1.
Lets's calculate LCM of 27,39,868
3 | 27, 39, 868 |
9, 13, 868 |
∴ So the LCM of the given numbers is 3 x 9 x 13 x 868 = 304668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304668
Therefore, the GCF of Fractions 52/27,79/39,292/868 is 1/304668
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 27,39,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,39,868) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,39,868) x common factors =1 x 3 = 3
LCM(27,39,868) = ( 27 × 39 × 868 ) / 3
LCM(27,39,868) = 914004 / 3
LCM(27,39,868) = 304668
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 52/27, 79/39, 292/868?
Answer: GCF of Numerators as per given numbers 52/27, 79/39, 292/868 is
GCF of Numerators i.e. for 52,79,292 is 1
LCM of denominators i.e. for 27,39,868 is 304668.
Thus, GCF of Fractions is 1/304668.Finally, GCF of Fractions for 52/27, 79/39, 292/868 is 1/304668.