Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/53,116/25,756/138
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 55,116,756
Greatest Common Factor of Numerators i.e. GCF of 55,116,756 is 1 .
LCM of Denominators means LCM of 53,25,138 as per the given fractions.
LCM of 53,25,138 is 182850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,116,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 55,116,756 . The biggest common factor number is the GCF number.
So the greatest common factor 55,116,756 is 1.
Lets's calculate LCM of 53,25,138
Given numbers has no common factors except 1. So, there LCM is their product i.e 182850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182850
Therefore, the GCF of Fractions 55/53,116/25,756/138 is 1/182850
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 53,25,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,25,138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,25,138) x common factors =1 x 1 = 1
LCM(53,25,138) = ( 53 × 25 × 138 ) / 1
LCM(53,25,138) = 182850 / 1
LCM(53,25,138) = 182850
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 55/53, 116/25, 756/138?
Answer: GCF of Numerators as per given numbers 55/53, 116/25, 756/138 is
GCF of Numerators i.e. for 55,116,756 is 1
LCM of denominators i.e. for 53,25,138 is 182850.
Thus, GCF of Fractions is 1/182850.Finally, GCF of Fractions for 55/53, 116/25, 756/138 is 1/182850.