Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/13,48/20,888/74
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 27,48,888
Greatest Common Factor of Numerators i.e. GCF of 27,48,888 is 3 .
LCM of Denominators means LCM of 13,20,74 as per the given fractions.
LCM of 13,20,74 is 9620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,48,888
3 | 27, 48, 888 |
9, 16, 296 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 27,48,888 . The biggest common factor number is the GCF number.
So the greatest common factor 27,48,888 is 3.
Lets's calculate LCM of 13,20,74
2 | 13, 20, 74 |
13, 10, 37 |
∴ So the LCM of the given numbers is 2 x 13 x 10 x 37 = 9620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9620
Therefore, the GCF of Fractions 27/13,48/20,888/74 is 3/9620
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 13,20,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,20,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(13,20,74) x common factors =1 x 2 = 2
LCM(13,20,74) = ( 13 × 20 × 74 ) / 2
LCM(13,20,74) = 19240 / 2
LCM(13,20,74) = 9620
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 27/13, 48/20, 888/74?
Answer: GCF of Numerators as per given numbers 27/13, 48/20, 888/74 is
GCF of Numerators i.e. for 27,48,888 is 3
LCM of denominators i.e. for 13,20,74 is 9620.
Thus, GCF of Fractions is 3/9620.Finally, GCF of Fractions for 27/13, 48/20, 888/74 is 3/9620.