Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/84,285/1977
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 896,285
Greatest Common Factor of Numerators i.e. GCF of 896,285 is 1 .
LCM of Denominators means LCM of 84,1977 as per the given fractions.
LCM of 84,1977 is 55356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 896,285
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 896,285 . The biggest common factor number is the GCF number.
So the greatest common factor 896,285 is 1.
Lets's calculate LCM of 84,1977
3 | 84, 1977 |
28, 659 |
∴ So the LCM of the given numbers is 3 x 28 x 659 = 55356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55356
Therefore, the GCF of Fractions 896/84,285/1977 is 1/55356
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 84,1977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,1977) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(84,1977) x common factors =3 x 1 = 3
LCM(84,1977) = ( 84 × 1977 ) / 3
LCM(84,1977) = 166068 / 3
LCM(84,1977) = 55356
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 896/84, 285/1977?
Answer: GCF of Numerators as per given numbers 896/84, 285/1977 is
GCF of Numerators i.e. for 896,285 is 1
LCM of denominators i.e. for 84,1977 is 55356.
Thus, GCF of Fractions is 1/55356.Finally, GCF of Fractions for 896/84, 285/1977 is 1/55356.