Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7895/73,9301/399
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 7895,9301
Greatest Common Factor of Numerators i.e. GCF of 7895,9301 is 1 .
LCM of Denominators means LCM of 73,399 as per the given fractions.
LCM of 73,399 is 29127 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7895,9301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7895
List of positive integer factors of 7895 that divides 7895 without a remainder.
1,5,1579,7895
Factors of 9301
List of positive integer factors of 9301 that divides 9301 without a remainder.
1,71,131,9301
Greatest Common Factor
We found the factors 7895,9301 . The biggest common factor number is the GCF number.
So the greatest common factor 7895,9301 is 1.
Lets's calculate LCM of 73,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 29127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29127
Therefore, the GCF of Fractions 7895/73,9301/399 is 1/29127
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 73,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,399) x common factors =1 x 1 = 1
LCM(73,399) = ( 73 × 399 ) / 1
LCM(73,399) = 29127 / 1
LCM(73,399) = 29127
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 7895/73, 9301/399?
Answer: GCF of Numerators as per given numbers 7895/73, 9301/399 is
GCF of Numerators i.e. for 7895,9301 is 1
LCM of denominators i.e. for 73,399 is 29127.
Thus, GCF of Fractions is 1/29127.Finally, GCF of Fractions for 7895/73, 9301/399 is 1/29127.