Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8828/235,8868/4290
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 8828,8868
Greatest Common Factor of Numerators i.e. GCF of 8828,8868 is 4 .
LCM of Denominators means LCM of 235,4290 as per the given fractions.
LCM of 235,4290 is 201630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8828,8868
2 | 8828, 8868 |
2 | 4414, 4434 |
2207, 2217 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8828
List of positive integer factors of 8828 that divides 8828 without a remainder.
1,2,4,2207,4414,8828
Factors of 8868
List of positive integer factors of 8868 that divides 8868 without a remainder.
1,2,3,4,6,12,739,1478,2217,2956,4434,8868
Greatest Common Factor
We found the factors 8828,8868 . The biggest common factor number is the GCF number.
So the greatest common factor 8828,8868 is 4.
Lets's calculate LCM of 235,4290
5 | 235, 4290 |
47, 858 |
∴ So the LCM of the given numbers is 5 x 47 x 858 = 201630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/201630
Therefore, the GCF of Fractions 8828/235,8868/4290 is 4/201630
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 235,4290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,4290) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(235,4290) x common factors =5 x 1 = 5
LCM(235,4290) = ( 235 × 4290 ) / 5
LCM(235,4290) = 1008150 / 5
LCM(235,4290) = 201630
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 8828/235, 8868/4290?
Answer: GCF of Numerators as per given numbers 8828/235, 8868/4290 is
GCF of Numerators i.e. for 8828,8868 is 4
LCM of denominators i.e. for 235,4290 is 201630.
Thus, GCF of Fractions is 4/201630.Finally, GCF of Fractions for 8828/235, 8868/4290 is 4/201630.