Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 326/84,114/7121
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 326,114
Greatest Common Factor of Numerators i.e. GCF of 326,114 is 2 .
LCM of Denominators means LCM of 84,7121 as per the given fractions.
LCM of 84,7121 is 598164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 326,114
2 | 326, 114 |
163, 57 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 326,114 . The biggest common factor number is the GCF number.
So the greatest common factor 326,114 is 2.
Lets's calculate LCM of 84,7121
Given numbers has no common factors except 1. So, there LCM is their product i.e 598164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/598164
Therefore, the GCF of Fractions 326/84,114/7121 is 2/598164
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 84,7121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,7121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,7121) x common factors =1 x 1 = 1
LCM(84,7121) = ( 84 × 7121 ) / 1
LCM(84,7121) = 598164 / 1
LCM(84,7121) = 598164
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 326/84, 114/7121?
Answer: GCF of Numerators as per given numbers 326/84, 114/7121 is
GCF of Numerators i.e. for 326,114 is 2
LCM of denominators i.e. for 84,7121 is 598164.
Thus, GCF of Fractions is 2/598164.Finally, GCF of Fractions for 326/84, 114/7121 is 2/598164.