Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2032/736,8037/5087
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 2032,8037
Greatest Common Factor of Numerators i.e. GCF of 2032,8037 is 1 .
LCM of Denominators means LCM of 736,5087 as per the given fractions.
LCM of 736,5087 is 3744032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2032,8037
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2032
List of positive integer factors of 2032 that divides 2032 without a remainder.
1,2,4,8,16,127,254,508,1016,2032
Factors of 8037
List of positive integer factors of 8037 that divides 8037 without a remainder.
1,3,9,19,47,57,141,171,423,893,2679,8037
Greatest Common Factor
We found the factors 2032,8037 . The biggest common factor number is the GCF number.
So the greatest common factor 2032,8037 is 1.
Lets's calculate LCM of 736,5087
Given numbers has no common factors except 1. So, there LCM is their product i.e 3744032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3744032
Therefore, the GCF of Fractions 2032/736,8037/5087 is 1/3744032
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 736,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,5087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,5087) x common factors =1 x 1 = 1
LCM(736,5087) = ( 736 × 5087 ) / 1
LCM(736,5087) = 3744032 / 1
LCM(736,5087) = 3744032
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 2032/736, 8037/5087?
Answer: GCF of Numerators as per given numbers 2032/736, 8037/5087 is
GCF of Numerators i.e. for 2032,8037 is 1
LCM of denominators i.e. for 736,5087 is 3744032.
Thus, GCF of Fractions is 1/3744032.Finally, GCF of Fractions for 2032/736, 8037/5087 is 1/3744032.