Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/104,83/433,476/893
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 40,83,476
Greatest Common Factor of Numerators i.e. GCF of 40,83,476 is 1 .
LCM of Denominators means LCM of 104,433,893 as per the given fractions.
LCM of 104,433,893 is 40213576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,83,476
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 40,83,476 . The biggest common factor number is the GCF number.
So the greatest common factor 40,83,476 is 1.
Lets's calculate LCM of 104,433,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 40213576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40213576
Therefore, the GCF of Fractions 40/104,83/433,476/893 is 1/40213576
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 104,433,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,433,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,433,893) x common factors =1 x 1 = 1
LCM(104,433,893) = ( 104 × 433 × 893 ) / 1
LCM(104,433,893) = 40213576 / 1
LCM(104,433,893) = 40213576
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 40/104, 83/433, 476/893?
Answer: GCF of Numerators as per given numbers 40/104, 83/433, 476/893 is
GCF of Numerators i.e. for 40,83,476 is 1
LCM of denominators i.e. for 104,433,893 is 40213576.
Thus, GCF of Fractions is 1/40213576.Finally, GCF of Fractions for 40/104, 83/433, 476/893 is 1/40213576.