Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3968/887,6356/855
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 3968,6356
Greatest Common Factor of Numerators i.e. GCF of 3968,6356 is 4 .
LCM of Denominators means LCM of 887,855 as per the given fractions.
LCM of 887,855 is 758385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3968,6356
2 | 3968, 6356 |
2 | 1984, 3178 |
992, 1589 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3968
List of positive integer factors of 3968 that divides 3968 without a remainder.
1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968
Factors of 6356
List of positive integer factors of 6356 that divides 6356 without a remainder.
1,2,4,7,14,28,227,454,908,1589,3178,6356
Greatest Common Factor
We found the factors 3968,6356 . The biggest common factor number is the GCF number.
So the greatest common factor 3968,6356 is 4.
Lets's calculate LCM of 887,855
Given numbers has no common factors except 1. So, there LCM is their product i.e 758385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/758385
Therefore, the GCF of Fractions 3968/887,6356/855 is 4/758385
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 887,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,855) x common factors =1 x 1 = 1
LCM(887,855) = ( 887 × 855 ) / 1
LCM(887,855) = 758385 / 1
LCM(887,855) = 758385
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 3968/887, 6356/855?
Answer: GCF of Numerators as per given numbers 3968/887, 6356/855 is
GCF of Numerators i.e. for 3968,6356 is 4
LCM of denominators i.e. for 887,855 is 758385.
Thus, GCF of Fractions is 4/758385.Finally, GCF of Fractions for 3968/887, 6356/855 is 4/758385.