Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/402,133/997,120/991
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 854,133,120
Greatest Common Factor of Numerators i.e. GCF of 854,133,120 is 1 .
LCM of Denominators means LCM of 402,997,991 as per the given fractions.
LCM of 402,997,991 is 397186854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 854,133,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 854,133,120 . The biggest common factor number is the GCF number.
So the greatest common factor 854,133,120 is 1.
Lets's calculate LCM of 402,997,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 397186854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397186854
Therefore, the GCF of Fractions 854/402,133/997,120/991 is 1/397186854
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 402,997,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,997,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,997,991) x common factors =1 x 1 = 1
LCM(402,997,991) = ( 402 × 997 × 991 ) / 1
LCM(402,997,991) = 397186854 / 1
LCM(402,997,991) = 397186854
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 854/402, 133/997, 120/991?
Answer: GCF of Numerators as per given numbers 854/402, 133/997, 120/991 is
GCF of Numerators i.e. for 854,133,120 is 1
LCM of denominators i.e. for 402,997,991 is 397186854.
Thus, GCF of Fractions is 1/397186854.Finally, GCF of Fractions for 854/402, 133/997, 120/991 is 1/397186854.