Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8354/748,6884/5952
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 8354,6884
Greatest Common Factor of Numerators i.e. GCF of 8354,6884 is 2 .
LCM of Denominators means LCM of 748,5952 as per the given fractions.
LCM of 748,5952 is 1113024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8354,6884
2 | 8354, 6884 |
4177, 3442 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8354
List of positive integer factors of 8354 that divides 8354 without a remainder.
1,2,4177,8354
Factors of 6884
List of positive integer factors of 6884 that divides 6884 without a remainder.
1,2,4,1721,3442,6884
Greatest Common Factor
We found the factors 8354,6884 . The biggest common factor number is the GCF number.
So the greatest common factor 8354,6884 is 2.
Lets's calculate LCM of 748,5952
2 | 748, 5952 |
2 | 374, 2976 |
187, 1488 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 1488 = 1113024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1113024
Therefore, the GCF of Fractions 8354/748,6884/5952 is 2/1113024
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 748,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5952) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5952) x common factors =4 x 1 = 4
LCM(748,5952) = ( 748 × 5952 ) / 4
LCM(748,5952) = 4452096 / 4
LCM(748,5952) = 1113024
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 8354/748, 6884/5952?
Answer: GCF of Numerators as per given numbers 8354/748, 6884/5952 is
GCF of Numerators i.e. for 8354,6884 is 2
LCM of denominators i.e. for 748,5952 is 1113024.
Thus, GCF of Fractions is 2/1113024.Finally, GCF of Fractions for 8354/748, 6884/5952 is 2/1113024.