Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1389/21,5700/104
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 1389,5700
Greatest Common Factor of Numerators i.e. GCF of 1389,5700 is 3 .
LCM of Denominators means LCM of 21,104 as per the given fractions.
LCM of 21,104 is 2184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1389,5700
3 | 1389, 5700 |
463, 1900 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1389
List of positive integer factors of 1389 that divides 1389 without a remainder.
1,3,463,1389
Factors of 5700
List of positive integer factors of 5700 that divides 5700 without a remainder.
1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors 1389,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 1389,5700 is 3.
Lets's calculate LCM of 21,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 2184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2184
Therefore, the GCF of Fractions 1389/21,5700/104 is 3/2184
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 21,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,104) x common factors =1 x 1 = 1
LCM(21,104) = ( 21 × 104 ) / 1
LCM(21,104) = 2184 / 1
LCM(21,104) = 2184
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 1389/21, 5700/104?
Answer: GCF of Numerators as per given numbers 1389/21, 5700/104 is
GCF of Numerators i.e. for 1389,5700 is 3
LCM of denominators i.e. for 21,104 is 2184.
Thus, GCF of Fractions is 3/2184.Finally, GCF of Fractions for 1389/21, 5700/104 is 3/2184.