Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 325/561,4743/2864
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 325,4743
Greatest Common Factor of Numerators i.e. GCF of 325,4743 is 1 .
LCM of Denominators means LCM of 561,2864 as per the given fractions.
LCM of 561,2864 is 1606704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 325,4743
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 4743
List of positive integer factors of 4743 that divides 4743 without a remainder.
1,3,9,17,31,51,93,153,279,527,1581,4743
Greatest Common Factor
We found the factors 325,4743 . The biggest common factor number is the GCF number.
So the greatest common factor 325,4743 is 1.
Lets's calculate LCM of 561,2864
Given numbers has no common factors except 1. So, there LCM is their product i.e 1606704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1606704
Therefore, the GCF of Fractions 325/561,4743/2864 is 1/1606704
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 561,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,2864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,2864) x common factors =1 x 1 = 1
LCM(561,2864) = ( 561 × 2864 ) / 1
LCM(561,2864) = 1606704 / 1
LCM(561,2864) = 1606704
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 325/561, 4743/2864?
Answer: GCF of Numerators as per given numbers 325/561, 4743/2864 is
GCF of Numerators i.e. for 325,4743 is 1
LCM of denominators i.e. for 561,2864 is 1606704.
Thus, GCF of Fractions is 1/1606704.Finally, GCF of Fractions for 325/561, 4743/2864 is 1/1606704.