Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 372/650,573/365
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 372,573
Greatest Common Factor of Numerators i.e. GCF of 372,573 is 3 .
LCM of Denominators means LCM of 650,365 as per the given fractions.
LCM of 650,365 is 47450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 372,573
3 | 372, 573 |
124, 191 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Greatest Common Factor
We found the factors 372,573 . The biggest common factor number is the GCF number.
So the greatest common factor 372,573 is 3.
Lets's calculate LCM of 650,365
5 | 650, 365 |
130, 73 |
∴ So the LCM of the given numbers is 5 x 130 x 73 = 47450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47450
Therefore, the GCF of Fractions 372/650,573/365 is 3/47450
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 650,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,365) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(650,365) x common factors =5 x 1 = 5
LCM(650,365) = ( 650 × 365 ) / 5
LCM(650,365) = 237250 / 5
LCM(650,365) = 47450
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 372/650, 573/365?
Answer: GCF of Numerators as per given numbers 372/650, 573/365 is
GCF of Numerators i.e. for 372,573 is 3
LCM of denominators i.e. for 650,365 is 47450.
Thus, GCF of Fractions is 3/47450.Finally, GCF of Fractions for 372/650, 573/365 is 3/47450.