Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 401/20,829/86,749/831
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 401,829,749
Greatest Common Factor of Numerators i.e. GCF of 401,829,749 is 1 .
LCM of Denominators means LCM of 20,86,831 as per the given fractions.
LCM of 20,86,831 is 714660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 401,829,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 401,829,749 . The biggest common factor number is the GCF number.
So the greatest common factor 401,829,749 is 1.
Lets's calculate LCM of 20,86,831
2 | 20, 86, 831 |
10, 43, 831 |
∴ So the LCM of the given numbers is 2 x 10 x 43 x 831 = 714660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714660
Therefore, the GCF of Fractions 401/20,829/86,749/831 is 1/714660
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 20,86,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,86,831) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(20,86,831) x common factors =1 x 2 = 2
LCM(20,86,831) = ( 20 × 86 × 831 ) / 2
LCM(20,86,831) = 1429320 / 2
LCM(20,86,831) = 714660
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 401/20, 829/86, 749/831?
Answer: GCF of Numerators as per given numbers 401/20, 829/86, 749/831 is
GCF of Numerators i.e. for 401,829,749 is 1
LCM of denominators i.e. for 20,86,831 is 714660.
Thus, GCF of Fractions is 1/714660.Finally, GCF of Fractions for 401/20, 829/86, 749/831 is 1/714660.