Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 325/600,1135/766
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 325,1135
Greatest Common Factor of Numerators i.e. GCF of 325,1135 is 5 .
LCM of Denominators means LCM of 600,766 as per the given fractions.
LCM of 600,766 is 229800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 325,1135
5 | 325, 1135 |
65, 227 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 1135
List of positive integer factors of 1135 that divides 1135 without a remainder.
1,5,227,1135
Greatest Common Factor
We found the factors 325,1135 . The biggest common factor number is the GCF number.
So the greatest common factor 325,1135 is 5.
Lets's calculate LCM of 600,766
2 | 600, 766 |
300, 383 |
∴ So the LCM of the given numbers is 2 x 300 x 383 = 229800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/229800
Therefore, the GCF of Fractions 325/600,1135/766 is 5/229800
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 600,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(600,766) x common factors =2 x 1 = 2
LCM(600,766) = ( 600 × 766 ) / 2
LCM(600,766) = 459600 / 2
LCM(600,766) = 229800
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 325/600, 1135/766?
Answer: GCF of Numerators as per given numbers 325/600, 1135/766 is
GCF of Numerators i.e. for 325,1135 is 5
LCM of denominators i.e. for 600,766 is 229800.
Thus, GCF of Fractions is 5/229800.Finally, GCF of Fractions for 325/600, 1135/766 is 5/229800.