Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7514/226,4786/2332
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 7514,4786
Greatest Common Factor of Numerators i.e. GCF of 7514,4786 is 2 .
LCM of Denominators means LCM of 226,2332 as per the given fractions.
LCM of 226,2332 is 263516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7514,4786
2 | 7514, 4786 |
3757, 2393 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7514
List of positive integer factors of 7514 that divides 7514 without a remainder.
1,2,13,17,26,34,221,289,442,578,3757,7514
Factors of 4786
List of positive integer factors of 4786 that divides 4786 without a remainder.
1,2,2393,4786
Greatest Common Factor
We found the factors 7514,4786 . The biggest common factor number is the GCF number.
So the greatest common factor 7514,4786 is 2.
Lets's calculate LCM of 226,2332
2 | 226, 2332 |
113, 1166 |
∴ So the LCM of the given numbers is 2 x 113 x 1166 = 263516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263516
Therefore, the GCF of Fractions 7514/226,4786/2332 is 2/263516
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 226,2332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,2332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,2332) x common factors =2 x 1 = 2
LCM(226,2332) = ( 226 × 2332 ) / 2
LCM(226,2332) = 527032 / 2
LCM(226,2332) = 263516
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 7514/226, 4786/2332?
Answer: GCF of Numerators as per given numbers 7514/226, 4786/2332 is
GCF of Numerators i.e. for 7514,4786 is 2
LCM of denominators i.e. for 226,2332 is 263516.
Thus, GCF of Fractions is 2/263516.Finally, GCF of Fractions for 7514/226, 4786/2332 is 2/263516.