Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 408/95,876/4689
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 408,876
Greatest Common Factor of Numerators i.e. GCF of 408,876 is 12 .
LCM of Denominators means LCM of 95,4689 as per the given fractions.
LCM of 95,4689 is 445455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 408,876
2 | 408, 876 |
2 | 204, 438 |
3 | 102, 219 |
34, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 408,876 . The biggest common factor number is the GCF number.
So the greatest common factor 408,876 is 12.
Lets's calculate LCM of 95,4689
Given numbers has no common factors except 1. So, there LCM is their product i.e 445455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/445455
Therefore, the GCF of Fractions 408/95,876/4689 is 12/445455
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 95,4689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,4689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,4689) x common factors =1 x 1 = 1
LCM(95,4689) = ( 95 × 4689 ) / 1
LCM(95,4689) = 445455 / 1
LCM(95,4689) = 445455
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 408/95, 876/4689?
Answer: GCF of Numerators as per given numbers 408/95, 876/4689 is
GCF of Numerators i.e. for 408,876 is 12
LCM of denominators i.e. for 95,4689 is 445455.
Thus, GCF of Fractions is 12/445455.Finally, GCF of Fractions for 408/95, 876/4689 is 12/445455.