Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9303/60,2124/787
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 9303,2124
Greatest Common Factor of Numerators i.e. GCF of 9303,2124 is 3 .
LCM of Denominators means LCM of 60,787 as per the given fractions.
LCM of 60,787 is 47220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9303,2124
3 | 9303, 2124 |
3101, 708 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9303
List of positive integer factors of 9303 that divides 9303 without a remainder.
1,3,7,21,443,1329,3101,9303
Factors of 2124
List of positive integer factors of 2124 that divides 2124 without a remainder.
1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Greatest Common Factor
We found the factors 9303,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 9303,2124 is 3.
Lets's calculate LCM of 60,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 47220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47220
Therefore, the GCF of Fractions 9303/60,2124/787 is 3/47220
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 60,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,787) x common factors =1 x 1 = 1
LCM(60,787) = ( 60 × 787 ) / 1
LCM(60,787) = 47220 / 1
LCM(60,787) = 47220
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 9303/60, 2124/787?
Answer: GCF of Numerators as per given numbers 9303/60, 2124/787 is
GCF of Numerators i.e. for 9303,2124 is 3
LCM of denominators i.e. for 60,787 is 47220.
Thus, GCF of Fractions is 3/47220.Finally, GCF of Fractions for 9303/60, 2124/787 is 3/47220.