Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1212/303,2696/4442
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 1212,2696
Greatest Common Factor of Numerators i.e. GCF of 1212,2696 is 4 .
LCM of Denominators means LCM of 303,4442 as per the given fractions.
LCM of 303,4442 is 1345926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1212,2696
2 | 1212, 2696 |
2 | 606, 1348 |
303, 674 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1212
List of positive integer factors of 1212 that divides 1212 without a remainder.
1,2,3,4,6,12,101,202,303,404,606,1212
Factors of 2696
List of positive integer factors of 2696 that divides 2696 without a remainder.
1,2,4,8,337,674,1348,2696
Greatest Common Factor
We found the factors 1212,2696 . The biggest common factor number is the GCF number.
So the greatest common factor 1212,2696 is 4.
Lets's calculate LCM of 303,4442
Given numbers has no common factors except 1. So, there LCM is their product i.e 1345926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1345926
Therefore, the GCF of Fractions 1212/303,2696/4442 is 4/1345926
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 303,4442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,4442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,4442) x common factors =1 x 1 = 1
LCM(303,4442) = ( 303 × 4442 ) / 1
LCM(303,4442) = 1345926 / 1
LCM(303,4442) = 1345926
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 1212/303, 2696/4442?
Answer: GCF of Numerators as per given numbers 1212/303, 2696/4442 is
GCF of Numerators i.e. for 1212,2696 is 4
LCM of denominators i.e. for 303,4442 is 1345926.
Thus, GCF of Fractions is 4/1345926.Finally, GCF of Fractions for 1212/303, 2696/4442 is 4/1345926.