Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7652/89,3056/198
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 7652,3056
Greatest Common Factor of Numerators i.e. GCF of 7652,3056 is 4 .
LCM of Denominators means LCM of 89,198 as per the given fractions.
LCM of 89,198 is 17622 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7652,3056
2 | 7652, 3056 |
2 | 3826, 1528 |
1913, 764 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7652
List of positive integer factors of 7652 that divides 7652 without a remainder.
1,2,4,1913,3826,7652
Factors of 3056
List of positive integer factors of 3056 that divides 3056 without a remainder.
1,2,4,8,16,191,382,764,1528,3056
Greatest Common Factor
We found the factors 7652,3056 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,3056 is 4.
Lets's calculate LCM of 89,198
Given numbers has no common factors except 1. So, there LCM is their product i.e 17622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17622
Therefore, the GCF of Fractions 7652/89,3056/198 is 4/17622
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 89,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,198) x common factors =1 x 1 = 1
LCM(89,198) = ( 89 × 198 ) / 1
LCM(89,198) = 17622 / 1
LCM(89,198) = 17622
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 7652/89, 3056/198?
Answer: GCF of Numerators as per given numbers 7652/89, 3056/198 is
GCF of Numerators i.e. for 7652,3056 is 4
LCM of denominators i.e. for 89,198 is 17622.
Thus, GCF of Fractions is 4/17622.Finally, GCF of Fractions for 7652/89, 3056/198 is 4/17622.