Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8308/254,6379/9905
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 8308,6379
Greatest Common Factor of Numerators i.e. GCF of 8308,6379 is 1 .
LCM of Denominators means LCM of 254,9905 as per the given fractions.
LCM of 254,9905 is 2515870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8308,6379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8308
List of positive integer factors of 8308 that divides 8308 without a remainder.
1,2,4,31,62,67,124,134,268,2077,4154,8308
Factors of 6379
List of positive integer factors of 6379 that divides 6379 without a remainder.
1,6379
Greatest Common Factor
We found the factors 8308,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 8308,6379 is 1.
Lets's calculate LCM of 254,9905
Given numbers has no common factors except 1. So, there LCM is their product i.e 2515870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2515870
Therefore, the GCF of Fractions 8308/254,6379/9905 is 1/2515870
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 254,9905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,9905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,9905) x common factors =1 x 1 = 1
LCM(254,9905) = ( 254 × 9905 ) / 1
LCM(254,9905) = 2515870 / 1
LCM(254,9905) = 2515870
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 8308/254, 6379/9905?
Answer: GCF of Numerators as per given numbers 8308/254, 6379/9905 is
GCF of Numerators i.e. for 8308,6379 is 1
LCM of denominators i.e. for 254,9905 is 2515870.
Thus, GCF of Fractions is 1/2515870.Finally, GCF of Fractions for 8308/254, 6379/9905 is 1/2515870.