Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6037/90,7890/905
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 6037,7890
Greatest Common Factor of Numerators i.e. GCF of 6037,7890 is 1 .
LCM of Denominators means LCM of 90,905 as per the given fractions.
LCM of 90,905 is 16290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6037,7890
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6037
List of positive integer factors of 6037 that divides 6037 without a remainder.
1,6037
Factors of 7890
List of positive integer factors of 7890 that divides 7890 without a remainder.
1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 6037,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 6037,7890 is 1.
Lets's calculate LCM of 90,905
5 | 90, 905 |
18, 181 |
∴ So the LCM of the given numbers is 5 x 18 x 181 = 16290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16290
Therefore, the GCF of Fractions 6037/90,7890/905 is 1/16290
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 90,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(90,905) x common factors =5 x 1 = 5
LCM(90,905) = ( 90 × 905 ) / 5
LCM(90,905) = 81450 / 5
LCM(90,905) = 16290
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 6037/90, 7890/905?
Answer: GCF of Numerators as per given numbers 6037/90, 7890/905 is
GCF of Numerators i.e. for 6037,7890 is 1
LCM of denominators i.e. for 90,905 is 16290.
Thus, GCF of Fractions is 1/16290.Finally, GCF of Fractions for 6037/90, 7890/905 is 1/16290.