Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/389,1762/6943
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 60,1762
Greatest Common Factor of Numerators i.e. GCF of 60,1762 is 2 .
LCM of Denominators means LCM of 389,6943 as per the given fractions.
LCM of 389,6943 is 2700827 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,1762
2 | 60, 1762 |
30, 881 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 1762
List of positive integer factors of 1762 that divides 1762 without a remainder.
1,2,881,1762
Greatest Common Factor
We found the factors 60,1762 . The biggest common factor number is the GCF number.
So the greatest common factor 60,1762 is 2.
Lets's calculate LCM of 389,6943
Given numbers has no common factors except 1. So, there LCM is their product i.e 2700827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2700827
Therefore, the GCF of Fractions 60/389,1762/6943 is 2/2700827
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 389,6943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,6943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,6943) x common factors =1 x 1 = 1
LCM(389,6943) = ( 389 × 6943 ) / 1
LCM(389,6943) = 2700827 / 1
LCM(389,6943) = 2700827
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 60/389, 1762/6943?
Answer: GCF of Numerators as per given numbers 60/389, 1762/6943 is
GCF of Numerators i.e. for 60,1762 is 2
LCM of denominators i.e. for 389,6943 is 2700827.
Thus, GCF of Fractions is 2/2700827.Finally, GCF of Fractions for 60/389, 1762/6943 is 2/2700827.