Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4005/973,5915/502
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 4005,5915
Greatest Common Factor of Numerators i.e. GCF of 4005,5915 is 5 .
LCM of Denominators means LCM of 973,502 as per the given fractions.
LCM of 973,502 is 488446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4005,5915
5 | 4005, 5915 |
801, 1183 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4005
List of positive integer factors of 4005 that divides 4005 without a remainder.
1,3,5,9,15,45,89,267,445,801,1335,4005
Factors of 5915
List of positive integer factors of 5915 that divides 5915 without a remainder.
1,5,7,13,35,65,91,169,455,845,1183,5915
Greatest Common Factor
We found the factors 4005,5915 . The biggest common factor number is the GCF number.
So the greatest common factor 4005,5915 is 5.
Lets's calculate LCM of 973,502
Given numbers has no common factors except 1. So, there LCM is their product i.e 488446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/488446
Therefore, the GCF of Fractions 4005/973,5915/502 is 5/488446
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 973,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,502) x common factors =1 x 1 = 1
LCM(973,502) = ( 973 × 502 ) / 1
LCM(973,502) = 488446 / 1
LCM(973,502) = 488446
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 4005/973, 5915/502?
Answer: GCF of Numerators as per given numbers 4005/973, 5915/502 is
GCF of Numerators i.e. for 4005,5915 is 5
LCM of denominators i.e. for 973,502 is 488446.
Thus, GCF of Fractions is 5/488446.Finally, GCF of Fractions for 4005/973, 5915/502 is 5/488446.