Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 812/903,892/256
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 812,892
Greatest Common Factor of Numerators i.e. GCF of 812,892 is 4 .
LCM of Denominators means LCM of 903,256 as per the given fractions.
LCM of 903,256 is 231168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 812,892
2 | 812, 892 |
2 | 406, 446 |
203, 223 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 812,892 . The biggest common factor number is the GCF number.
So the greatest common factor 812,892 is 4.
Lets's calculate LCM of 903,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 231168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/231168
Therefore, the GCF of Fractions 812/903,892/256 is 4/231168
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 903,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,256) x common factors =1 x 1 = 1
LCM(903,256) = ( 903 × 256 ) / 1
LCM(903,256) = 231168 / 1
LCM(903,256) = 231168
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 812/903, 892/256?
Answer: GCF of Numerators as per given numbers 812/903, 892/256 is
GCF of Numerators i.e. for 812,892 is 4
LCM of denominators i.e. for 903,256 is 231168.
Thus, GCF of Fractions is 4/231168.Finally, GCF of Fractions for 812/903, 892/256 is 4/231168.