Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/904,349/781,595/961
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 52,349,595
Greatest Common Factor of Numerators i.e. GCF of 52,349,595 is 1 .
LCM of Denominators means LCM of 904,781,961 as per the given fractions.
LCM of 904,781,961 is 678489064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,349,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 52,349,595 . The biggest common factor number is the GCF number.
So the greatest common factor 52,349,595 is 1.
Lets's calculate LCM of 904,781,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 678489064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678489064
Therefore, the GCF of Fractions 52/904,349/781,595/961 is 1/678489064
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 904,781,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,781,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,781,961) x common factors =1 x 1 = 1
LCM(904,781,961) = ( 904 × 781 × 961 ) / 1
LCM(904,781,961) = 678489064 / 1
LCM(904,781,961) = 678489064
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 52/904, 349/781, 595/961?
Answer: GCF of Numerators as per given numbers 52/904, 349/781, 595/961 is
GCF of Numerators i.e. for 52,349,595 is 1
LCM of denominators i.e. for 904,781,961 is 678489064.
Thus, GCF of Fractions is 1/678489064.Finally, GCF of Fractions for 52/904, 349/781, 595/961 is 1/678489064.