Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6388/933,9498/2051
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 6388,9498
Greatest Common Factor of Numerators i.e. GCF of 6388,9498 is 2 .
LCM of Denominators means LCM of 933,2051 as per the given fractions.
LCM of 933,2051 is 1913583 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6388,9498
2 | 6388, 9498 |
3194, 4749 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6388
List of positive integer factors of 6388 that divides 6388 without a remainder.
1,2,4,1597,3194,6388
Factors of 9498
List of positive integer factors of 9498 that divides 9498 without a remainder.
1,2,3,6,1583,3166,4749,9498
Greatest Common Factor
We found the factors 6388,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 6388,9498 is 2.
Lets's calculate LCM of 933,2051
Given numbers has no common factors except 1. So, there LCM is their product i.e 1913583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1913583
Therefore, the GCF of Fractions 6388/933,9498/2051 is 2/1913583
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 933,2051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,2051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,2051) x common factors =1 x 1 = 1
LCM(933,2051) = ( 933 × 2051 ) / 1
LCM(933,2051) = 1913583 / 1
LCM(933,2051) = 1913583
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 6388/933, 9498/2051?
Answer: GCF of Numerators as per given numbers 6388/933, 9498/2051 is
GCF of Numerators i.e. for 6388,9498 is 2
LCM of denominators i.e. for 933,2051 is 1913583.
Thus, GCF of Fractions is 2/1913583.Finally, GCF of Fractions for 6388/933, 9498/2051 is 2/1913583.