Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/987,3491/943
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 482,3491
Greatest Common Factor of Numerators i.e. GCF of 482,3491 is 1 .
LCM of Denominators means LCM of 987,943 as per the given fractions.
LCM of 987,943 is 930741 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 482,3491
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 3491
List of positive integer factors of 3491 that divides 3491 without a remainder.
1,3491
Greatest Common Factor
We found the factors 482,3491 . The biggest common factor number is the GCF number.
So the greatest common factor 482,3491 is 1.
Lets's calculate LCM of 987,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 930741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/930741
Therefore, the GCF of Fractions 482/987,3491/943 is 1/930741
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 987,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,943) x common factors =1 x 1 = 1
LCM(987,943) = ( 987 × 943 ) / 1
LCM(987,943) = 930741 / 1
LCM(987,943) = 930741
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 482/987, 3491/943?
Answer: GCF of Numerators as per given numbers 482/987, 3491/943 is
GCF of Numerators i.e. for 482,3491 is 1
LCM of denominators i.e. for 987,943 is 930741.
Thus, GCF of Fractions is 1/930741.Finally, GCF of Fractions for 482/987, 3491/943 is 1/930741.