Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8451/245,2431/8556
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 8451,2431
Greatest Common Factor of Numerators i.e. GCF of 8451,2431 is 1 .
LCM of Denominators means LCM of 245,8556 as per the given fractions.
LCM of 245,8556 is 2096220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8451,2431
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8451
List of positive integer factors of 8451 that divides 8451 without a remainder.
1,3,9,27,313,939,2817,8451
Factors of 2431
List of positive integer factors of 2431 that divides 2431 without a remainder.
1,11,13,17,143,187,221,2431
Greatest Common Factor
We found the factors 8451,2431 . The biggest common factor number is the GCF number.
So the greatest common factor 8451,2431 is 1.
Lets's calculate LCM of 245,8556
Given numbers has no common factors except 1. So, there LCM is their product i.e 2096220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2096220
Therefore, the GCF of Fractions 8451/245,2431/8556 is 1/2096220
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 245,8556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,8556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,8556) x common factors =1 x 1 = 1
LCM(245,8556) = ( 245 × 8556 ) / 1
LCM(245,8556) = 2096220 / 1
LCM(245,8556) = 2096220
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 8451/245, 2431/8556?
Answer: GCF of Numerators as per given numbers 8451/245, 2431/8556 is
GCF of Numerators i.e. for 8451,2431 is 1
LCM of denominators i.e. for 245,8556 is 2096220.
Thus, GCF of Fractions is 1/2096220.Finally, GCF of Fractions for 8451/245, 2431/8556 is 1/2096220.