Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/337,55/3135
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 44,55
Greatest Common Factor of Numerators i.e. GCF of 44,55 is 11 .
LCM of Denominators means LCM of 337,3135 as per the given fractions.
LCM of 337,3135 is 1056495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,55
11 | 44, 55 |
4, 5 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors 44,55 . The biggest common factor number is the GCF number.
So the greatest common factor 44,55 is 11.
Lets's calculate LCM of 337,3135
Given numbers has no common factors except 1. So, there LCM is their product i.e 1056495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1056495
Therefore, the GCF of Fractions 44/337,55/3135 is 11/1056495
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 337,3135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,3135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,3135) x common factors =1 x 1 = 1
LCM(337,3135) = ( 337 × 3135 ) / 1
LCM(337,3135) = 1056495 / 1
LCM(337,3135) = 1056495
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 44/337, 55/3135?
Answer: GCF of Numerators as per given numbers 44/337, 55/3135 is
GCF of Numerators i.e. for 44,55 is 11
LCM of denominators i.e. for 337,3135 is 1056495.
Thus, GCF of Fractions is 11/1056495.Finally, GCF of Fractions for 44/337, 55/3135 is 11/1056495.