Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4233/10,2208/359
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 4233,2208
Greatest Common Factor of Numerators i.e. GCF of 4233,2208 is 3 .
LCM of Denominators means LCM of 10,359 as per the given fractions.
LCM of 10,359 is 3590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4233,2208
3 | 4233, 2208 |
1411, 736 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4233
List of positive integer factors of 4233 that divides 4233 without a remainder.
1,3,17,51,83,249,1411,4233
Factors of 2208
List of positive integer factors of 2208 that divides 2208 without a remainder.
1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208
Greatest Common Factor
We found the factors 4233,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 4233,2208 is 3.
Lets's calculate LCM of 10,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 3590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3590
Therefore, the GCF of Fractions 4233/10,2208/359 is 3/3590
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 10,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,359) x common factors =1 x 1 = 1
LCM(10,359) = ( 10 × 359 ) / 1
LCM(10,359) = 3590 / 1
LCM(10,359) = 3590
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 4233/10, 2208/359?
Answer: GCF of Numerators as per given numbers 4233/10, 2208/359 is
GCF of Numerators i.e. for 4233,2208 is 3
LCM of denominators i.e. for 10,359 is 3590.
Thus, GCF of Fractions is 3/3590.Finally, GCF of Fractions for 4233/10, 2208/359 is 3/3590.