Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 212/9756,122/7648
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 212,122
Greatest Common Factor of Numerators i.e. GCF of 212,122 is 2 .
LCM of Denominators means LCM of 9756,7648 as per the given fractions.
LCM of 9756,7648 is 18653472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 212,122
2 | 212, 122 |
106, 61 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 212,122 . The biggest common factor number is the GCF number.
So the greatest common factor 212,122 is 2.
Lets's calculate LCM of 9756,7648
2 | 9756, 7648 |
2 | 4878, 3824 |
2439, 1912 |
∴ So the LCM of the given numbers is 2 x 2 x 2439 x 1912 = 18653472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18653472
Therefore, the GCF of Fractions 212/9756,122/7648 is 2/18653472
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 9756,7648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9756,7648) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9756,7648) x common factors =4 x 1 = 4
LCM(9756,7648) = ( 9756 × 7648 ) / 4
LCM(9756,7648) = 74613888 / 4
LCM(9756,7648) = 18653472
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 212/9756, 122/7648?
Answer: GCF of Numerators as per given numbers 212/9756, 122/7648 is
GCF of Numerators i.e. for 212,122 is 2
LCM of denominators i.e. for 9756,7648 is 18653472.
Thus, GCF of Fractions is 2/18653472.Finally, GCF of Fractions for 212/9756, 122/7648 is 2/18653472.