Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4927/734,1907/5527
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 4927,1907
Greatest Common Factor of Numerators i.e. GCF of 4927,1907 is 1 .
LCM of Denominators means LCM of 734,5527 as per the given fractions.
LCM of 734,5527 is 4056818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4927,1907
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4927
List of positive integer factors of 4927 that divides 4927 without a remainder.
1,13,379,4927
Factors of 1907
List of positive integer factors of 1907 that divides 1907 without a remainder.
1,1907
Greatest Common Factor
We found the factors 4927,1907 . The biggest common factor number is the GCF number.
So the greatest common factor 4927,1907 is 1.
Lets's calculate LCM of 734,5527
Given numbers has no common factors except 1. So, there LCM is their product i.e 4056818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4056818
Therefore, the GCF of Fractions 4927/734,1907/5527 is 1/4056818
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 734,5527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,5527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,5527) x common factors =1 x 1 = 1
LCM(734,5527) = ( 734 × 5527 ) / 1
LCM(734,5527) = 4056818 / 1
LCM(734,5527) = 4056818
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 4927/734, 1907/5527?
Answer: GCF of Numerators as per given numbers 4927/734, 1907/5527 is
GCF of Numerators i.e. for 4927,1907 is 1
LCM of denominators i.e. for 734,5527 is 4056818.
Thus, GCF of Fractions is 1/4056818.Finally, GCF of Fractions for 4927/734, 1907/5527 is 1/4056818.