Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5183/595,8134/3852
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 5183,8134
Greatest Common Factor of Numerators i.e. GCF of 5183,8134 is 1 .
LCM of Denominators means LCM of 595,3852 as per the given fractions.
LCM of 595,3852 is 2291940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5183,8134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5183
List of positive integer factors of 5183 that divides 5183 without a remainder.
1,71,73,5183
Factors of 8134
List of positive integer factors of 8134 that divides 8134 without a remainder.
1,2,7,14,49,83,98,166,581,1162,4067,8134
Greatest Common Factor
We found the factors 5183,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 5183,8134 is 1.
Lets's calculate LCM of 595,3852
Given numbers has no common factors except 1. So, there LCM is their product i.e 2291940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2291940
Therefore, the GCF of Fractions 5183/595,8134/3852 is 1/2291940
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 595,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,3852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,3852) x common factors =1 x 1 = 1
LCM(595,3852) = ( 595 × 3852 ) / 1
LCM(595,3852) = 2291940 / 1
LCM(595,3852) = 2291940
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 5183/595, 8134/3852?
Answer: GCF of Numerators as per given numbers 5183/595, 8134/3852 is
GCF of Numerators i.e. for 5183,8134 is 1
LCM of denominators i.e. for 595,3852 is 2291940.
Thus, GCF of Fractions is 1/2291940.Finally, GCF of Fractions for 5183/595, 8134/3852 is 1/2291940.