Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4592/64,5127/439
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 4592,5127
Greatest Common Factor of Numerators i.e. GCF of 4592,5127 is 1 .
LCM of Denominators means LCM of 64,439 as per the given fractions.
LCM of 64,439 is 28096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4592,5127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4592
List of positive integer factors of 4592 that divides 4592 without a remainder.
1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Factors of 5127
List of positive integer factors of 5127 that divides 5127 without a remainder.
1,3,1709,5127
Greatest Common Factor
We found the factors 4592,5127 . The biggest common factor number is the GCF number.
So the greatest common factor 4592,5127 is 1.
Lets's calculate LCM of 64,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 28096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28096
Therefore, the GCF of Fractions 4592/64,5127/439 is 1/28096
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 64,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,439) x common factors =1 x 1 = 1
LCM(64,439) = ( 64 × 439 ) / 1
LCM(64,439) = 28096 / 1
LCM(64,439) = 28096
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 4592/64, 5127/439?
Answer: GCF of Numerators as per given numbers 4592/64, 5127/439 is
GCF of Numerators i.e. for 4592,5127 is 1
LCM of denominators i.e. for 64,439 is 28096.
Thus, GCF of Fractions is 1/28096.Finally, GCF of Fractions for 4592/64, 5127/439 is 1/28096.