Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9407/304,8178/515
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 9407,8178
Greatest Common Factor of Numerators i.e. GCF of 9407,8178 is 1 .
LCM of Denominators means LCM of 304,515 as per the given fractions.
LCM of 304,515 is 156560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9407,8178
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9407
List of positive integer factors of 9407 that divides 9407 without a remainder.
1,23,409,9407
Factors of 8178
List of positive integer factors of 8178 that divides 8178 without a remainder.
1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178
Greatest Common Factor
We found the factors 9407,8178 . The biggest common factor number is the GCF number.
So the greatest common factor 9407,8178 is 1.
Lets's calculate LCM of 304,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 156560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156560
Therefore, the GCF of Fractions 9407/304,8178/515 is 1/156560
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 304,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,515) x common factors =1 x 1 = 1
LCM(304,515) = ( 304 × 515 ) / 1
LCM(304,515) = 156560 / 1
LCM(304,515) = 156560
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 9407/304, 8178/515?
Answer: GCF of Numerators as per given numbers 9407/304, 8178/515 is
GCF of Numerators i.e. for 9407,8178 is 1
LCM of denominators i.e. for 304,515 is 156560.
Thus, GCF of Fractions is 1/156560.Finally, GCF of Fractions for 9407/304, 8178/515 is 1/156560.