Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/475,16/837,883/875
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 41,16,883
Greatest Common Factor of Numerators i.e. GCF of 41,16,883 is 1 .
LCM of Denominators means LCM of 475,837,875 as per the given fractions.
LCM of 475,837,875 is 13915125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,16,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Greatest Common Factor
We found the factors 41,16,883 . The biggest common factor number is the GCF number.
So the greatest common factor 41,16,883 is 1.
Lets's calculate LCM of 475,837,875
5 | 475, 837, 875 |
5 | 95, 837, 175 |
19, 837, 35 |
∴ So the LCM of the given numbers is 5 x 5 x 19 x 837 x 35 = 13915125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13915125
Therefore, the GCF of Fractions 41/475,16/837,883/875 is 1/13915125
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 475,837,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,837,875) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(475,837,875) x common factors =1 x 25 = 25
LCM(475,837,875) = ( 475 × 837 × 875 ) / 25
LCM(475,837,875) = 347878125 / 25
LCM(475,837,875) = 13915125
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 41/475, 16/837, 883/875?
Answer: GCF of Numerators as per given numbers 41/475, 16/837, 883/875 is
GCF of Numerators i.e. for 41,16,883 is 1
LCM of denominators i.e. for 475,837,875 is 13915125.
Thus, GCF of Fractions is 1/13915125.Finally, GCF of Fractions for 41/475, 16/837, 883/875 is 1/13915125.