Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8862/553,2119/9041
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 8862,2119
Greatest Common Factor of Numerators i.e. GCF of 8862,2119 is 1 .
LCM of Denominators means LCM of 553,9041 as per the given fractions.
LCM of 553,9041 is 4999673 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8862,2119
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8862
List of positive integer factors of 8862 that divides 8862 without a remainder.
1,2,3,6,7,14,21,42,211,422,633,1266,1477,2954,4431,8862
Factors of 2119
List of positive integer factors of 2119 that divides 2119 without a remainder.
1,13,163,2119
Greatest Common Factor
We found the factors 8862,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 8862,2119 is 1.
Lets's calculate LCM of 553,9041
Given numbers has no common factors except 1. So, there LCM is their product i.e 4999673
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4999673
Therefore, the GCF of Fractions 8862/553,2119/9041 is 1/4999673
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 553,9041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,9041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,9041) x common factors =1 x 1 = 1
LCM(553,9041) = ( 553 × 9041 ) / 1
LCM(553,9041) = 4999673 / 1
LCM(553,9041) = 4999673
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 8862/553, 2119/9041?
Answer: GCF of Numerators as per given numbers 8862/553, 2119/9041 is
GCF of Numerators i.e. for 8862,2119 is 1
LCM of denominators i.e. for 553,9041 is 4999673.
Thus, GCF of Fractions is 1/4999673.Finally, GCF of Fractions for 8862/553, 2119/9041 is 1/4999673.