Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/655,1837/8499
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 210,1837
Greatest Common Factor of Numerators i.e. GCF of 210,1837 is 1 .
LCM of Denominators means LCM of 655,8499 as per the given fractions.
LCM of 655,8499 is 5566845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,1837
∴ So GCF of numbers is 1 because of no common factors present between them.
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 1837
List of positive integer factors of 1837 that divides 1837 without a remainder.
1,11,167,1837
Greatest Common Factor
We found the factors 210,1837 . The biggest common factor number is the GCF number.
So the greatest common factor 210,1837 is 1.
Lets's calculate LCM of 655,8499
Given numbers has no common factors except 1. So, there LCM is their product i.e 5566845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5566845
Therefore, the GCF of Fractions 210/655,1837/8499 is 1/5566845
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 655,8499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,8499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,8499) x common factors =1 x 1 = 1
LCM(655,8499) = ( 655 × 8499 ) / 1
LCM(655,8499) = 5566845 / 1
LCM(655,8499) = 5566845
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 210/655, 1837/8499?
Answer: GCF of Numerators as per given numbers 210/655, 1837/8499 is
GCF of Numerators i.e. for 210,1837 is 1
LCM of denominators i.e. for 655,8499 is 5566845.
Thus, GCF of Fractions is 1/5566845.Finally, GCF of Fractions for 210/655, 1837/8499 is 1/5566845.