Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/75,9358/616
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 210,9358
Greatest Common Factor of Numerators i.e. GCF of 210,9358 is 2 .
LCM of Denominators means LCM of 75,616 as per the given fractions.
LCM of 75,616 is 46200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,9358
2 | 210, 9358 |
105, 4679 |
∴ 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 9358
List of positive integer factors of 9358 that divides 9358 without a remainder.
1,2,4679,9358
Greatest Common Factor
We found the factors 210,9358 . The biggest common factor number is the GCF number.
So the greatest common factor 210,9358 is 2.
Lets's calculate LCM of 75,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 46200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46200
Therefore, the GCF of Fractions 210/75,9358/616 is 2/46200
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 75,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,616) x common factors =1 x 1 = 1
LCM(75,616) = ( 75 × 616 ) / 1
LCM(75,616) = 46200 / 1
LCM(75,616) = 46200
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 210/75, 9358/616?
Answer: GCF of Numerators as per given numbers 210/75, 9358/616 is
GCF of Numerators i.e. for 210,9358 is 2
LCM of denominators i.e. for 75,616 is 46200.
Thus, GCF of Fractions is 2/46200.Finally, GCF of Fractions for 210/75, 9358/616 is 2/46200.