Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/129,3247/784
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 943,3247
Greatest Common Factor of Numerators i.e. GCF of 943,3247 is 1 .
LCM of Denominators means LCM of 129,784 as per the given fractions.
LCM of 129,784 is 101136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 943,3247
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1,17,191,3247
Greatest Common Factor
We found the factors 943,3247 . The biggest common factor number is the GCF number.
So the greatest common factor 943,3247 is 1.
Lets's calculate LCM of 129,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 101136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101136
Therefore, the GCF of Fractions 943/129,3247/784 is 1/101136
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 129,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,784) x common factors =1 x 1 = 1
LCM(129,784) = ( 129 × 784 ) / 1
LCM(129,784) = 101136 / 1
LCM(129,784) = 101136
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 943/129, 3247/784?
Answer: GCF of Numerators as per given numbers 943/129, 3247/784 is
GCF of Numerators i.e. for 943,3247 is 1
LCM of denominators i.e. for 129,784 is 101136.
Thus, GCF of Fractions is 1/101136.Finally, GCF of Fractions for 943/129, 3247/784 is 1/101136.