Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1226/483,7514/9126
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 1226,7514
Greatest Common Factor of Numerators i.e. GCF of 1226,7514 is 2 .
LCM of Denominators means LCM of 483,9126 as per the given fractions.
LCM of 483,9126 is 1469286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1226,7514
2 | 1226, 7514 |
613, 3757 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1226
List of positive integer factors of 1226 that divides 1226 without a remainder.
1,2,613,1226
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
Greatest Common Factor
We found the factors 1226,7514 . The biggest common factor number is the GCF number.
So the greatest common factor 1226,7514 is 2.
Lets's calculate LCM of 483,9126
3 | 483, 9126 |
161, 3042 |
∴ So the LCM of the given numbers is 3 x 161 x 3042 = 1469286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1469286
Therefore, the GCF of Fractions 1226/483,7514/9126 is 2/1469286
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 483,9126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,9126) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(483,9126) x common factors =3 x 1 = 3
LCM(483,9126) = ( 483 × 9126 ) / 3
LCM(483,9126) = 4407858 / 3
LCM(483,9126) = 1469286
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 1226/483, 7514/9126?
Answer: GCF of Numerators as per given numbers 1226/483, 7514/9126 is
GCF of Numerators i.e. for 1226,7514 is 2
LCM of denominators i.e. for 483,9126 is 1469286.
Thus, GCF of Fractions is 2/1469286.Finally, GCF of Fractions for 1226/483, 7514/9126 is 2/1469286.