Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4181/946,8725/482
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 4181,8725
Greatest Common Factor of Numerators i.e. GCF of 4181,8725 is 1 .
LCM of Denominators means LCM of 946,482 as per the given fractions.
LCM of 946,482 is 227986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4181,8725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4181
List of positive integer factors of 4181 that divides 4181 without a remainder.
1,37,113,4181
Factors of 8725
List of positive integer factors of 8725 that divides 8725 without a remainder.
1,5,25,349,1745,8725
Greatest Common Factor
We found the factors 4181,8725 . The biggest common factor number is the GCF number.
So the greatest common factor 4181,8725 is 1.
Lets's calculate LCM of 946,482
2 | 946, 482 |
473, 241 |
∴ So the LCM of the given numbers is 2 x 473 x 241 = 227986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227986
Therefore, the GCF of Fractions 4181/946,8725/482 is 1/227986
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 946,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,482) x common factors =2 x 1 = 2
LCM(946,482) = ( 946 × 482 ) / 2
LCM(946,482) = 455972 / 2
LCM(946,482) = 227986
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 4181/946, 8725/482?
Answer: GCF of Numerators as per given numbers 4181/946, 8725/482 is
GCF of Numerators i.e. for 4181,8725 is 1
LCM of denominators i.e. for 946,482 is 227986.
Thus, GCF of Fractions is 1/227986.Finally, GCF of Fractions for 4181/946, 8725/482 is 1/227986.