Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4768/291,3284/2150
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 4768,3284
Greatest Common Factor of Numerators i.e. GCF of 4768,3284 is 4 .
LCM of Denominators means LCM of 291,2150 as per the given fractions.
LCM of 291,2150 is 625650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4768,3284
2 | 4768, 3284 |
2 | 2384, 1642 |
1192, 821 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4768
List of positive integer factors of 4768 that divides 4768 without a remainder.
1,2,4,8,16,32,149,298,596,1192,2384,4768
Factors of 3284
List of positive integer factors of 3284 that divides 3284 without a remainder.
1,2,4,821,1642,3284
Greatest Common Factor
We found the factors 4768,3284 . The biggest common factor number is the GCF number.
So the greatest common factor 4768,3284 is 4.
Lets's calculate LCM of 291,2150
Given numbers has no common factors except 1. So, there LCM is their product i.e 625650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/625650
Therefore, the GCF of Fractions 4768/291,3284/2150 is 4/625650
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 291,2150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,2150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,2150) x common factors =1 x 1 = 1
LCM(291,2150) = ( 291 × 2150 ) / 1
LCM(291,2150) = 625650 / 1
LCM(291,2150) = 625650
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 4768/291, 3284/2150?
Answer: GCF of Numerators as per given numbers 4768/291, 3284/2150 is
GCF of Numerators i.e. for 4768,3284 is 4
LCM of denominators i.e. for 291,2150 is 625650.
Thus, GCF of Fractions is 4/625650.Finally, GCF of Fractions for 4768/291, 3284/2150 is 4/625650.