Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1132/752,2512/133
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 1132,2512
Greatest Common Factor of Numerators i.e. GCF of 1132,2512 is 4 .
LCM of Denominators means LCM of 752,133 as per the given fractions.
LCM of 752,133 is 100016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1132,2512
2 | 1132, 2512 |
2 | 566, 1256 |
283, 628 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1132
List of positive integer factors of 1132 that divides 1132 without a remainder.
1,2,4,283,566,1132
Factors of 2512
List of positive integer factors of 2512 that divides 2512 without a remainder.
1,2,4,8,16,157,314,628,1256,2512
Greatest Common Factor
We found the factors 1132,2512 . The biggest common factor number is the GCF number.
So the greatest common factor 1132,2512 is 4.
Lets's calculate LCM of 752,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 100016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/100016
Therefore, the GCF of Fractions 1132/752,2512/133 is 4/100016
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 752,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,133) x common factors =1 x 1 = 1
LCM(752,133) = ( 752 × 133 ) / 1
LCM(752,133) = 100016 / 1
LCM(752,133) = 100016
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 1132/752, 2512/133?
Answer: GCF of Numerators as per given numbers 1132/752, 2512/133 is
GCF of Numerators i.e. for 1132,2512 is 4
LCM of denominators i.e. for 752,133 is 100016.
Thus, GCF of Fractions is 4/100016.Finally, GCF of Fractions for 1132/752, 2512/133 is 4/100016.