Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/203,2777/7123
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 91,2777
Greatest Common Factor of Numerators i.e. GCF of 91,2777 is 1 .
LCM of Denominators means LCM of 203,7123 as per the given fractions.
LCM of 203,7123 is 1445969 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,2777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 2777
List of positive integer factors of 2777 that divides 2777 without a remainder.
1,2777
Greatest Common Factor
We found the factors 91,2777 . The biggest common factor number is the GCF number.
So the greatest common factor 91,2777 is 1.
Lets's calculate LCM of 203,7123
Given numbers has no common factors except 1. So, there LCM is their product i.e 1445969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1445969
Therefore, the GCF of Fractions 91/203,2777/7123 is 1/1445969
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 203,7123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,7123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,7123) x common factors =1 x 1 = 1
LCM(203,7123) = ( 203 × 7123 ) / 1
LCM(203,7123) = 1445969 / 1
LCM(203,7123) = 1445969
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 91/203, 2777/7123?
Answer: GCF of Numerators as per given numbers 91/203, 2777/7123 is
GCF of Numerators i.e. for 91,2777 is 1
LCM of denominators i.e. for 203,7123 is 1445969.
Thus, GCF of Fractions is 1/1445969.Finally, GCF of Fractions for 91/203, 2777/7123 is 1/1445969.