Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3013/379,4058/8248
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 3013,4058
Greatest Common Factor of Numerators i.e. GCF of 3013,4058 is 1 .
LCM of Denominators means LCM of 379,8248 as per the given fractions.
LCM of 379,8248 is 3125992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3013,4058
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3013
List of positive integer factors of 3013 that divides 3013 without a remainder.
1,23,131,3013
Factors of 4058
List of positive integer factors of 4058 that divides 4058 without a remainder.
1,2,2029,4058
Greatest Common Factor
We found the factors 3013,4058 . The biggest common factor number is the GCF number.
So the greatest common factor 3013,4058 is 1.
Lets's calculate LCM of 379,8248
Given numbers has no common factors except 1. So, there LCM is their product i.e 3125992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3125992
Therefore, the GCF of Fractions 3013/379,4058/8248 is 1/3125992
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 379,8248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,8248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,8248) x common factors =1 x 1 = 1
LCM(379,8248) = ( 379 × 8248 ) / 1
LCM(379,8248) = 3125992 / 1
LCM(379,8248) = 3125992
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 3013/379, 4058/8248?
Answer: GCF of Numerators as per given numbers 3013/379, 4058/8248 is
GCF of Numerators i.e. for 3013,4058 is 1
LCM of denominators i.e. for 379,8248 is 3125992.
Thus, GCF of Fractions is 1/3125992.Finally, GCF of Fractions for 3013/379, 4058/8248 is 1/3125992.