Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/23,60/927,884/537
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 14,60,884
Greatest Common Factor of Numerators i.e. GCF of 14,60,884 is 2 .
LCM of Denominators means LCM of 23,927,537 as per the given fractions.
LCM of 23,927,537 is 3816459 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,60,884
2 | 14, 60, 884 |
7, 30, 442 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 14,60,884 . The biggest common factor number is the GCF number.
So the greatest common factor 14,60,884 is 2.
Lets's calculate LCM of 23,927,537
3 | 23, 927, 537 |
23, 309, 179 |
∴ So the LCM of the given numbers is 3 x 23 x 309 x 179 = 3816459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3816459
Therefore, the GCF of Fractions 14/23,60/927,884/537 is 2/3816459
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 23,927,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,927,537) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(23,927,537) x common factors =1 x 3 = 3
LCM(23,927,537) = ( 23 × 927 × 537 ) / 3
LCM(23,927,537) = 11449377 / 3
LCM(23,927,537) = 3816459
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 14/23, 60/927, 884/537?
Answer: GCF of Numerators as per given numbers 14/23, 60/927, 884/537 is
GCF of Numerators i.e. for 14,60,884 is 2
LCM of denominators i.e. for 23,927,537 is 3816459.
Thus, GCF of Fractions is 2/3816459.Finally, GCF of Fractions for 14/23, 60/927, 884/537 is 2/3816459.