Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 412/513,8832/725
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 412,8832
Greatest Common Factor of Numerators i.e. GCF of 412,8832 is 4 .
LCM of Denominators means LCM of 513,725 as per the given fractions.
LCM of 513,725 is 371925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 412,8832
2 | 412, 8832 |
2 | 206, 4416 |
103, 2208 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 8832
List of positive integer factors of 8832 that divides 8832 without a remainder.
1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832
Greatest Common Factor
We found the factors 412,8832 . The biggest common factor number is the GCF number.
So the greatest common factor 412,8832 is 4.
Lets's calculate LCM of 513,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 371925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/371925
Therefore, the GCF of Fractions 412/513,8832/725 is 4/371925
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 513,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,725) x common factors =1 x 1 = 1
LCM(513,725) = ( 513 × 725 ) / 1
LCM(513,725) = 371925 / 1
LCM(513,725) = 371925
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 412/513, 8832/725?
Answer: GCF of Numerators as per given numbers 412/513, 8832/725 is
GCF of Numerators i.e. for 412,8832 is 4
LCM of denominators i.e. for 513,725 is 371925.
Thus, GCF of Fractions is 4/371925.Finally, GCF of Fractions for 412/513, 8832/725 is 4/371925.