Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/137,9777/940
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 791,9777
Greatest Common Factor of Numerators i.e. GCF of 791,9777 is 1 .
LCM of Denominators means LCM of 137,940 as per the given fractions.
LCM of 137,940 is 128780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 791,9777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 9777
List of positive integer factors of 9777 that divides 9777 without a remainder.
1,3,3259,9777
Greatest Common Factor
We found the factors 791,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 791,9777 is 1.
Lets's calculate LCM of 137,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 128780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128780
Therefore, the GCF of Fractions 791/137,9777/940 is 1/128780
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 137,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,940) x common factors =1 x 1 = 1
LCM(137,940) = ( 137 × 940 ) / 1
LCM(137,940) = 128780 / 1
LCM(137,940) = 128780
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 791/137, 9777/940?
Answer: GCF of Numerators as per given numbers 791/137, 9777/940 is
GCF of Numerators i.e. for 791,9777 is 1
LCM of denominators i.e. for 137,940 is 128780.
Thus, GCF of Fractions is 1/128780.Finally, GCF of Fractions for 791/137, 9777/940 is 1/128780.