Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9428/28,2037/290
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 9428,2037
Greatest Common Factor of Numerators i.e. GCF of 9428,2037 is 1 .
LCM of Denominators means LCM of 28,290 as per the given fractions.
LCM of 28,290 is 4060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9428,2037
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9428
List of positive integer factors of 9428 that divides 9428 without a remainder.
1,2,4,2357,4714,9428
Factors of 2037
List of positive integer factors of 2037 that divides 2037 without a remainder.
1,3,7,21,97,291,679,2037
Greatest Common Factor
We found the factors 9428,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 9428,2037 is 1.
Lets's calculate LCM of 28,290
2 | 28, 290 |
14, 145 |
∴ So the LCM of the given numbers is 2 x 14 x 145 = 4060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4060
Therefore, the GCF of Fractions 9428/28,2037/290 is 1/4060
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 28,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,290) x common factors =2 x 1 = 2
LCM(28,290) = ( 28 × 290 ) / 2
LCM(28,290) = 8120 / 2
LCM(28,290) = 4060
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 9428/28, 2037/290?
Answer: GCF of Numerators as per given numbers 9428/28, 2037/290 is
GCF of Numerators i.e. for 9428,2037 is 1
LCM of denominators i.e. for 28,290 is 4060.
Thus, GCF of Fractions is 1/4060.Finally, GCF of Fractions for 9428/28, 2037/290 is 1/4060.