Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1002/927,6936/7781
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 1002,6936
Greatest Common Factor of Numerators i.e. GCF of 1002,6936 is 6 .
LCM of Denominators means LCM of 927,7781 as per the given fractions.
LCM of 927,7781 is 7212987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1002,6936
2 | 1002, 6936 |
3 | 501, 3468 |
167, 1156 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1002
List of positive integer factors of 1002 that divides 1002 without a remainder.
1,2,3,6,167,334,501,1002
Factors of 6936
List of positive integer factors of 6936 that divides 6936 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936
Greatest Common Factor
We found the factors 1002,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 1002,6936 is 6.
Lets's calculate LCM of 927,7781
Given numbers has no common factors except 1. So, there LCM is their product i.e 7212987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7212987
Therefore, the GCF of Fractions 1002/927,6936/7781 is 6/7212987
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 927,7781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,7781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,7781) x common factors =1 x 1 = 1
LCM(927,7781) = ( 927 × 7781 ) / 1
LCM(927,7781) = 7212987 / 1
LCM(927,7781) = 7212987
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 1002/927, 6936/7781?
Answer: GCF of Numerators as per given numbers 1002/927, 6936/7781 is
GCF of Numerators i.e. for 1002,6936 is 6
LCM of denominators i.e. for 927,7781 is 7212987.
Thus, GCF of Fractions is 6/7212987.Finally, GCF of Fractions for 1002/927, 6936/7781 is 6/7212987.