Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7562/188,5132/7791
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 7562,5132
Greatest Common Factor of Numerators i.e. GCF of 7562,5132 is 2 .
LCM of Denominators means LCM of 188,7791 as per the given fractions.
LCM of 188,7791 is 1464708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7562,5132
2 | 7562, 5132 |
3781, 2566 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7562
List of positive integer factors of 7562 that divides 7562 without a remainder.
1,2,19,38,199,398,3781,7562
Factors of 5132
List of positive integer factors of 5132 that divides 5132 without a remainder.
1,2,4,1283,2566,5132
Greatest Common Factor
We found the factors 7562,5132 . The biggest common factor number is the GCF number.
So the greatest common factor 7562,5132 is 2.
Lets's calculate LCM of 188,7791
Given numbers has no common factors except 1. So, there LCM is their product i.e 1464708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1464708
Therefore, the GCF of Fractions 7562/188,5132/7791 is 2/1464708
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 188,7791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,7791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,7791) x common factors =1 x 1 = 1
LCM(188,7791) = ( 188 × 7791 ) / 1
LCM(188,7791) = 1464708 / 1
LCM(188,7791) = 1464708
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 7562/188, 5132/7791?
Answer: GCF of Numerators as per given numbers 7562/188, 5132/7791 is
GCF of Numerators i.e. for 7562,5132 is 2
LCM of denominators i.e. for 188,7791 is 1464708.
Thus, GCF of Fractions is 2/1464708.Finally, GCF of Fractions for 7562/188, 5132/7791 is 2/1464708.