Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 814/35,471/93,858/923
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 814,471,858
Greatest Common Factor of Numerators i.e. GCF of 814,471,858 is 1 .
LCM of Denominators means LCM of 35,93,923 as per the given fractions.
LCM of 35,93,923 is 3004365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 814,471,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 814,471,858 . The biggest common factor number is the GCF number.
So the greatest common factor 814,471,858 is 1.
Lets's calculate LCM of 35,93,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 3004365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3004365
Therefore, the GCF of Fractions 814/35,471/93,858/923 is 1/3004365
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 35,93,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,93,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,93,923) x common factors =1 x 1 = 1
LCM(35,93,923) = ( 35 × 93 × 923 ) / 1
LCM(35,93,923) = 3004365 / 1
LCM(35,93,923) = 3004365
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 814/35, 471/93, 858/923?
Answer: GCF of Numerators as per given numbers 814/35, 471/93, 858/923 is
GCF of Numerators i.e. for 814,471,858 is 1
LCM of denominators i.e. for 35,93,923 is 3004365.
Thus, GCF of Fractions is 1/3004365.Finally, GCF of Fractions for 814/35, 471/93, 858/923 is 1/3004365.