Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5873/80,7799/557
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 5873,7799
Greatest Common Factor of Numerators i.e. GCF of 5873,7799 is 1 .
LCM of Denominators means LCM of 80,557 as per the given fractions.
LCM of 80,557 is 44560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5873,7799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5873
List of positive integer factors of 5873 that divides 5873 without a remainder.
1,7,839,5873
Factors of 7799
List of positive integer factors of 7799 that divides 7799 without a remainder.
1,11,709,7799
Greatest Common Factor
We found the factors 5873,7799 . The biggest common factor number is the GCF number.
So the greatest common factor 5873,7799 is 1.
Lets's calculate LCM of 80,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 44560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44560
Therefore, the GCF of Fractions 5873/80,7799/557 is 1/44560
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 80,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,557) x common factors =1 x 1 = 1
LCM(80,557) = ( 80 × 557 ) / 1
LCM(80,557) = 44560 / 1
LCM(80,557) = 44560
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 5873/80, 7799/557?
Answer: GCF of Numerators as per given numbers 5873/80, 7799/557 is
GCF of Numerators i.e. for 5873,7799 is 1
LCM of denominators i.e. for 80,557 is 44560.
Thus, GCF of Fractions is 1/44560.Finally, GCF of Fractions for 5873/80, 7799/557 is 1/44560.