Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/18,320/3077
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 290,320
Greatest Common Factor of Numerators i.e. GCF of 290,320 is 10 .
LCM of Denominators means LCM of 18,3077 as per the given fractions.
LCM of 18,3077 is 55386 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 290,320
2 | 290, 320 |
5 | 145, 160 |
29, 32 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 290,320 . The biggest common factor number is the GCF number.
So the greatest common factor 290,320 is 10.
Lets's calculate LCM of 18,3077
Given numbers has no common factors except 1. So, there LCM is their product i.e 55386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/55386
Therefore, the GCF of Fractions 290/18,320/3077 is 10/55386
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 18,3077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,3077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,3077) x common factors =1 x 1 = 1
LCM(18,3077) = ( 18 × 3077 ) / 1
LCM(18,3077) = 55386 / 1
LCM(18,3077) = 55386
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 290/18, 320/3077?
Answer: GCF of Numerators as per given numbers 290/18, 320/3077 is
GCF of Numerators i.e. for 290,320 is 10
LCM of denominators i.e. for 18,3077 is 55386.
Thus, GCF of Fractions is 10/55386.Finally, GCF of Fractions for 290/18, 320/3077 is 10/55386.