Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 516/61,681/989
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 516,681
Greatest Common Factor of Numerators i.e. GCF of 516,681 is 3 .
LCM of Denominators means LCM of 61,989 as per the given fractions.
LCM of 61,989 is 60329 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 516,681
3 | 516, 681 |
172, 227 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 516,681 . The biggest common factor number is the GCF number.
So the greatest common factor 516,681 is 3.
Lets's calculate LCM of 61,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 60329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60329
Therefore, the GCF of Fractions 516/61,681/989 is 3/60329
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 61,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,989) x common factors =1 x 1 = 1
LCM(61,989) = ( 61 × 989 ) / 1
LCM(61,989) = 60329 / 1
LCM(61,989) = 60329
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 516/61, 681/989?
Answer: GCF of Numerators as per given numbers 516/61, 681/989 is
GCF of Numerators i.e. for 516,681 is 3
LCM of denominators i.e. for 61,989 is 60329.
Thus, GCF of Fractions is 3/60329.Finally, GCF of Fractions for 516/61, 681/989 is 3/60329.