Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 124/579,378/279,468/834
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 124,378,468
Greatest Common Factor of Numerators i.e. GCF of 124,378,468 is 2 .
LCM of Denominators means LCM of 579,279,834 as per the given fractions.
LCM of 579,279,834 is 14969466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 124,378,468
2 | 124, 378, 468 |
62, 189, 234 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 124,378,468 . The biggest common factor number is the GCF number.
So the greatest common factor 124,378,468 is 2.
Lets's calculate LCM of 579,279,834
3 | 579, 279, 834 |
193, 93, 278 |
∴ So the LCM of the given numbers is 3 x 193 x 93 x 278 = 14969466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14969466
Therefore, the GCF of Fractions 124/579,378/279,468/834 is 2/14969466
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 579,279,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,279,834) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(579,279,834) x common factors =3 x 3 = 9
LCM(579,279,834) = ( 579 × 279 × 834 ) / 9
LCM(579,279,834) = 134725194 / 9
LCM(579,279,834) = 14969466
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 124/579, 378/279, 468/834?
Answer: GCF of Numerators as per given numbers 124/579, 378/279, 468/834 is
GCF of Numerators i.e. for 124,378,468 is 2
LCM of denominators i.e. for 579,279,834 is 14969466.
Thus, GCF of Fractions is 2/14969466.Finally, GCF of Fractions for 124/579, 378/279, 468/834 is 2/14969466.