Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/299,7501/1595
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 40,7501
Greatest Common Factor of Numerators i.e. GCF of 40,7501 is 1 .
LCM of Denominators means LCM of 299,1595 as per the given fractions.
LCM of 299,1595 is 476905 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,7501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 7501
List of positive integer factors of 7501 that divides 7501 without a remainder.
1,13,577,7501
Greatest Common Factor
We found the factors 40,7501 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7501 is 1.
Lets's calculate LCM of 299,1595
Given numbers has no common factors except 1. So, there LCM is their product i.e 476905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476905
Therefore, the GCF of Fractions 40/299,7501/1595 is 1/476905
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 299,1595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,1595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,1595) x common factors =1 x 1 = 1
LCM(299,1595) = ( 299 × 1595 ) / 1
LCM(299,1595) = 476905 / 1
LCM(299,1595) = 476905
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 40/299, 7501/1595?
Answer: GCF of Numerators as per given numbers 40/299, 7501/1595 is
GCF of Numerators i.e. for 40,7501 is 1
LCM of denominators i.e. for 299,1595 is 476905.
Thus, GCF of Fractions is 1/476905.Finally, GCF of Fractions for 40/299, 7501/1595 is 1/476905.