Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/14,574/5919
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 151,574
Greatest Common Factor of Numerators i.e. GCF of 151,574 is 1 .
LCM of Denominators means LCM of 14,5919 as per the given fractions.
LCM of 14,5919 is 82866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 151,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 151,574 . The biggest common factor number is the GCF number.
So the greatest common factor 151,574 is 1.
Lets's calculate LCM of 14,5919
Given numbers has no common factors except 1. So, there LCM is their product i.e 82866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82866
Therefore, the GCF of Fractions 151/14,574/5919 is 1/82866
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 14,5919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,5919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,5919) x common factors =1 x 1 = 1
LCM(14,5919) = ( 14 × 5919 ) / 1
LCM(14,5919) = 82866 / 1
LCM(14,5919) = 82866
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 151/14, 574/5919?
Answer: GCF of Numerators as per given numbers 151/14, 574/5919 is
GCF of Numerators i.e. for 151,574 is 1
LCM of denominators i.e. for 14,5919 is 82866.
Thus, GCF of Fractions is 1/82866.Finally, GCF of Fractions for 151/14, 574/5919 is 1/82866.