Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5792/597,2797/973
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 5792,2797
Greatest Common Factor of Numerators i.e. GCF of 5792,2797 is 1 .
LCM of Denominators means LCM of 597,973 as per the given fractions.
LCM of 597,973 is 580881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5792,2797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5792
List of positive integer factors of 5792 that divides 5792 without a remainder.
1,2,4,8,16,32,181,362,724,1448,2896,5792
Factors of 2797
List of positive integer factors of 2797 that divides 2797 without a remainder.
1,2797
Greatest Common Factor
We found the factors 5792,2797 . The biggest common factor number is the GCF number.
So the greatest common factor 5792,2797 is 1.
Lets's calculate LCM of 597,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 580881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580881
Therefore, the GCF of Fractions 5792/597,2797/973 is 1/580881
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 597,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,973) x common factors =1 x 1 = 1
LCM(597,973) = ( 597 × 973 ) / 1
LCM(597,973) = 580881 / 1
LCM(597,973) = 580881
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 5792/597, 2797/973?
Answer: GCF of Numerators as per given numbers 5792/597, 2797/973 is
GCF of Numerators i.e. for 5792,2797 is 1
LCM of denominators i.e. for 597,973 is 580881.
Thus, GCF of Fractions is 1/580881.Finally, GCF of Fractions for 5792/597, 2797/973 is 1/580881.