Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8883/295,3316/859
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 8883,3316
Greatest Common Factor of Numerators i.e. GCF of 8883,3316 is 1 .
LCM of Denominators means LCM of 295,859 as per the given fractions.
LCM of 295,859 is 253405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8883,3316
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8883
List of positive integer factors of 8883 that divides 8883 without a remainder.
1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Factors of 3316
List of positive integer factors of 3316 that divides 3316 without a remainder.
1,2,4,829,1658,3316
Greatest Common Factor
We found the factors 8883,3316 . The biggest common factor number is the GCF number.
So the greatest common factor 8883,3316 is 1.
Lets's calculate LCM of 295,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 253405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253405
Therefore, the GCF of Fractions 8883/295,3316/859 is 1/253405
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 295,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,859) x common factors =1 x 1 = 1
LCM(295,859) = ( 295 × 859 ) / 1
LCM(295,859) = 253405 / 1
LCM(295,859) = 253405
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 8883/295, 3316/859?
Answer: GCF of Numerators as per given numbers 8883/295, 3316/859 is
GCF of Numerators i.e. for 8883,3316 is 1
LCM of denominators i.e. for 295,859 is 253405.
Thus, GCF of Fractions is 1/253405.Finally, GCF of Fractions for 8883/295, 3316/859 is 1/253405.