Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 108/556,5108/8665
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 108,5108
Greatest Common Factor of Numerators i.e. GCF of 108,5108 is 4 .
LCM of Denominators means LCM of 556,8665 as per the given fractions.
LCM of 556,8665 is 4817740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 108,5108
2 | 108, 5108 |
2 | 54, 2554 |
27, 1277 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 5108
List of positive integer factors of 5108 that divides 5108 without a remainder.
1,2,4,1277,2554,5108
Greatest Common Factor
We found the factors 108,5108 . The biggest common factor number is the GCF number.
So the greatest common factor 108,5108 is 4.
Lets's calculate LCM of 556,8665
Given numbers has no common factors except 1. So, there LCM is their product i.e 4817740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4817740
Therefore, the GCF of Fractions 108/556,5108/8665 is 4/4817740
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 556,8665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,8665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,8665) x common factors =1 x 1 = 1
LCM(556,8665) = ( 556 × 8665 ) / 1
LCM(556,8665) = 4817740 / 1
LCM(556,8665) = 4817740
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 108/556, 5108/8665?
Answer: GCF of Numerators as per given numbers 108/556, 5108/8665 is
GCF of Numerators i.e. for 108,5108 is 4
LCM of denominators i.e. for 556,8665 is 4817740.
Thus, GCF of Fractions is 4/4817740.Finally, GCF of Fractions for 108/556, 5108/8665 is 4/4817740.