Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 122/36,116/5049
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 122,116
Greatest Common Factor of Numerators i.e. GCF of 122,116 is 2 .
LCM of Denominators means LCM of 36,5049 as per the given fractions.
LCM of 36,5049 is 20196 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 122,116
2 | 122, 116 |
61, 58 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 122,116 . The biggest common factor number is the GCF number.
So the greatest common factor 122,116 is 2.
Lets's calculate LCM of 36,5049
3 | 36, 5049 |
3 | 12, 1683 |
4, 561 |
∴ So the LCM of the given numbers is 3 x 3 x 4 x 561 = 20196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20196
Therefore, the GCF of Fractions 122/36,116/5049 is 2/20196
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 36,5049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,5049) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(36,5049) x common factors =9 x 1 = 9
LCM(36,5049) = ( 36 × 5049 ) / 9
LCM(36,5049) = 181764 / 9
LCM(36,5049) = 20196
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 122/36, 116/5049?
Answer: GCF of Numerators as per given numbers 122/36, 116/5049 is
GCF of Numerators i.e. for 122,116 is 2
LCM of denominators i.e. for 36,5049 is 20196.
Thus, GCF of Fractions is 2/20196.Finally, GCF of Fractions for 122/36, 116/5049 is 2/20196.