Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 897/471,9902/6119
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 897,9902
Greatest Common Factor of Numerators i.e. GCF of 897,9902 is 1 .
LCM of Denominators means LCM of 471,6119 as per the given fractions.
LCM of 471,6119 is 2882049 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 897,9902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 9902
List of positive integer factors of 9902 that divides 9902 without a remainder.
1,2,4951,9902
Greatest Common Factor
We found the factors 897,9902 . The biggest common factor number is the GCF number.
So the greatest common factor 897,9902 is 1.
Lets's calculate LCM of 471,6119
Given numbers has no common factors except 1. So, there LCM is their product i.e 2882049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2882049
Therefore, the GCF of Fractions 897/471,9902/6119 is 1/2882049
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 471,6119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,6119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,6119) x common factors =1 x 1 = 1
LCM(471,6119) = ( 471 × 6119 ) / 1
LCM(471,6119) = 2882049 / 1
LCM(471,6119) = 2882049
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 897/471, 9902/6119?
Answer: GCF of Numerators as per given numbers 897/471, 9902/6119 is
GCF of Numerators i.e. for 897,9902 is 1
LCM of denominators i.e. for 471,6119 is 2882049.
Thus, GCF of Fractions is 1/2882049.Finally, GCF of Fractions for 897/471, 9902/6119 is 1/2882049.