Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9379/594,6466/876
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 9379,6466
Greatest Common Factor of Numerators i.e. GCF of 9379,6466 is 1 .
LCM of Denominators means LCM of 594,876 as per the given fractions.
LCM of 594,876 is 86724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9379,6466
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9379
List of positive integer factors of 9379 that divides 9379 without a remainder.
1,83,113,9379
Factors of 6466
List of positive integer factors of 6466 that divides 6466 without a remainder.
1,2,53,61,106,122,3233,6466
Greatest Common Factor
We found the factors 9379,6466 . The biggest common factor number is the GCF number.
So the greatest common factor 9379,6466 is 1.
Lets's calculate LCM of 594,876
2 | 594, 876 |
3 | 297, 438 |
99, 146 |
∴ So the LCM of the given numbers is 2 x 3 x 99 x 146 = 86724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86724
Therefore, the GCF of Fractions 9379/594,6466/876 is 1/86724
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 594,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,876) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(594,876) x common factors =6 x 1 = 6
LCM(594,876) = ( 594 × 876 ) / 6
LCM(594,876) = 520344 / 6
LCM(594,876) = 86724
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 9379/594, 6466/876?
Answer: GCF of Numerators as per given numbers 9379/594, 6466/876 is
GCF of Numerators i.e. for 9379,6466 is 1
LCM of denominators i.e. for 594,876 is 86724.
Thus, GCF of Fractions is 1/86724.Finally, GCF of Fractions for 9379/594, 6466/876 is 1/86724.