Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9436/419,2710/857
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 9436,2710
Greatest Common Factor of Numerators i.e. GCF of 9436,2710 is 2 .
LCM of Denominators means LCM of 419,857 as per the given fractions.
LCM of 419,857 is 359083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9436,2710
2 | 9436, 2710 |
4718, 1355 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9436
List of positive integer factors of 9436 that divides 9436 without a remainder.
1,2,4,7,14,28,337,674,1348,2359,4718,9436
Factors of 2710
List of positive integer factors of 2710 that divides 2710 without a remainder.
1,2,5,10,271,542,1355,2710
Greatest Common Factor
We found the factors 9436,2710 . The biggest common factor number is the GCF number.
So the greatest common factor 9436,2710 is 2.
Lets's calculate LCM of 419,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 359083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/359083
Therefore, the GCF of Fractions 9436/419,2710/857 is 2/359083
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 419,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,857) x common factors =1 x 1 = 1
LCM(419,857) = ( 419 × 857 ) / 1
LCM(419,857) = 359083 / 1
LCM(419,857) = 359083
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 9436/419, 2710/857?
Answer: GCF of Numerators as per given numbers 9436/419, 2710/857 is
GCF of Numerators i.e. for 9436,2710 is 2
LCM of denominators i.e. for 419,857 is 359083.
Thus, GCF of Fractions is 2/359083.Finally, GCF of Fractions for 9436/419, 2710/857 is 2/359083.