Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/62,841/49,903/809
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 210,841,903
Greatest Common Factor of Numerators i.e. GCF of 210,841,903 is 1 .
LCM of Denominators means LCM of 62,49,809 as per the given fractions.
LCM of 62,49,809 is 2457742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,841,903
∴ 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 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 210,841,903 . The biggest common factor number is the GCF number.
So the greatest common factor 210,841,903 is 1.
Lets's calculate LCM of 62,49,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 2457742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2457742
Therefore, the GCF of Fractions 210/62,841/49,903/809 is 1/2457742
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 62,49,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,49,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,49,809) x common factors =1 x 1 = 1
LCM(62,49,809) = ( 62 × 49 × 809 ) / 1
LCM(62,49,809) = 2457742 / 1
LCM(62,49,809) = 2457742
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 210/62, 841/49, 903/809?
Answer: GCF of Numerators as per given numbers 210/62, 841/49, 903/809 is
GCF of Numerators i.e. for 210,841,903 is 1
LCM of denominators i.e. for 62,49,809 is 2457742.
Thus, GCF of Fractions is 1/2457742.Finally, GCF of Fractions for 210/62, 841/49, 903/809 is 1/2457742.