Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/338,6626/555
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 210,6626
Greatest Common Factor of Numerators i.e. GCF of 210,6626 is 2 .
LCM of Denominators means LCM of 338,555 as per the given fractions.
LCM of 338,555 is 187590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,6626
2 | 210, 6626 |
105, 3313 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 6626
List of positive integer factors of 6626 that divides 6626 without a remainder.
1,2,3313,6626
Greatest Common Factor
We found the factors 210,6626 . The biggest common factor number is the GCF number.
So the greatest common factor 210,6626 is 2.
Lets's calculate LCM of 338,555
Given numbers has no common factors except 1. So, there LCM is their product i.e 187590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187590
Therefore, the GCF of Fractions 210/338,6626/555 is 2/187590
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 338,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,555) x common factors =1 x 1 = 1
LCM(338,555) = ( 338 × 555 ) / 1
LCM(338,555) = 187590 / 1
LCM(338,555) = 187590
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 210/338, 6626/555?
Answer: GCF of Numerators as per given numbers 210/338, 6626/555 is
GCF of Numerators i.e. for 210,6626 is 2
LCM of denominators i.e. for 338,555 is 187590.
Thus, GCF of Fractions is 2/187590.Finally, GCF of Fractions for 210/338, 6626/555 is 2/187590.