Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 926/49,777/9908
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 926,777
Greatest Common Factor of Numerators i.e. GCF of 926,777 is 1 .
LCM of Denominators means LCM of 49,9908 as per the given fractions.
LCM of 49,9908 is 485492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 926,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 926,777 . The biggest common factor number is the GCF number.
So the greatest common factor 926,777 is 1.
Lets's calculate LCM of 49,9908
Given numbers has no common factors except 1. So, there LCM is their product i.e 485492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485492
Therefore, the GCF of Fractions 926/49,777/9908 is 1/485492
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 49,9908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,9908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,9908) x common factors =1 x 1 = 1
LCM(49,9908) = ( 49 × 9908 ) / 1
LCM(49,9908) = 485492 / 1
LCM(49,9908) = 485492
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 926/49, 777/9908?
Answer: GCF of Numerators as per given numbers 926/49, 777/9908 is
GCF of Numerators i.e. for 926,777 is 1
LCM of denominators i.e. for 49,9908 is 485492.
Thus, GCF of Fractions is 1/485492.Finally, GCF of Fractions for 926/49, 777/9908 is 1/485492.