Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5973/377,7951/3387
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 5973,7951
Greatest Common Factor of Numerators i.e. GCF of 5973,7951 is 1 .
LCM of Denominators means LCM of 377,3387 as per the given fractions.
LCM of 377,3387 is 1276899 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5973,7951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5973
List of positive integer factors of 5973 that divides 5973 without a remainder.
1,3,11,33,181,543,1991,5973
Factors of 7951
List of positive integer factors of 7951 that divides 7951 without a remainder.
1,7951
Greatest Common Factor
We found the factors 5973,7951 . The biggest common factor number is the GCF number.
So the greatest common factor 5973,7951 is 1.
Lets's calculate LCM of 377,3387
Given numbers has no common factors except 1. So, there LCM is their product i.e 1276899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1276899
Therefore, the GCF of Fractions 5973/377,7951/3387 is 1/1276899
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 377,3387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,3387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,3387) x common factors =1 x 1 = 1
LCM(377,3387) = ( 377 × 3387 ) / 1
LCM(377,3387) = 1276899 / 1
LCM(377,3387) = 1276899
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 5973/377, 7951/3387?
Answer: GCF of Numerators as per given numbers 5973/377, 7951/3387 is
GCF of Numerators i.e. for 5973,7951 is 1
LCM of denominators i.e. for 377,3387 is 1276899.
Thus, GCF of Fractions is 1/1276899.Finally, GCF of Fractions for 5973/377, 7951/3387 is 1/1276899.