Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8941/179,3304/6285
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 8941,3304
Greatest Common Factor of Numerators i.e. GCF of 8941,3304 is 1 .
LCM of Denominators means LCM of 179,6285 as per the given fractions.
LCM of 179,6285 is 1125015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8941,3304
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8941
List of positive integer factors of 8941 that divides 8941 without a remainder.
1,8941
Factors of 3304
List of positive integer factors of 3304 that divides 3304 without a remainder.
1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Greatest Common Factor
We found the factors 8941,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 8941,3304 is 1.
Lets's calculate LCM of 179,6285
Given numbers has no common factors except 1. So, there LCM is their product i.e 1125015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1125015
Therefore, the GCF of Fractions 8941/179,3304/6285 is 1/1125015
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 179,6285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,6285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,6285) x common factors =1 x 1 = 1
LCM(179,6285) = ( 179 × 6285 ) / 1
LCM(179,6285) = 1125015 / 1
LCM(179,6285) = 1125015
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 8941/179, 3304/6285?
Answer: GCF of Numerators as per given numbers 8941/179, 3304/6285 is
GCF of Numerators i.e. for 8941,3304 is 1
LCM of denominators i.e. for 179,6285 is 1125015.
Thus, GCF of Fractions is 1/1125015.Finally, GCF of Fractions for 8941/179, 3304/6285 is 1/1125015.