Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 640/418,3733/4985
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 640,3733
Greatest Common Factor of Numerators i.e. GCF of 640,3733 is 1 .
LCM of Denominators means LCM of 418,4985 as per the given fractions.
LCM of 418,4985 is 2083730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 640,3733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 3733
List of positive integer factors of 3733 that divides 3733 without a remainder.
1,3733
Greatest Common Factor
We found the factors 640,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 640,3733 is 1.
Lets's calculate LCM of 418,4985
Given numbers has no common factors except 1. So, there LCM is their product i.e 2083730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2083730
Therefore, the GCF of Fractions 640/418,3733/4985 is 1/2083730
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 418,4985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,4985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,4985) x common factors =1 x 1 = 1
LCM(418,4985) = ( 418 × 4985 ) / 1
LCM(418,4985) = 2083730 / 1
LCM(418,4985) = 2083730
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 640/418, 3733/4985?
Answer: GCF of Numerators as per given numbers 640/418, 3733/4985 is
GCF of Numerators i.e. for 640,3733 is 1
LCM of denominators i.e. for 418,4985 is 2083730.
Thus, GCF of Fractions is 1/2083730.Finally, GCF of Fractions for 640/418, 3733/4985 is 1/2083730.