Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/601,881/609
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 376,881
Greatest Common Factor of Numerators i.e. GCF of 376,881 is 1 .
LCM of Denominators means LCM of 601,609 as per the given fractions.
LCM of 601,609 is 366009 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 376,881 . The biggest common factor number is the GCF number.
So the greatest common factor 376,881 is 1.
Lets's calculate LCM of 601,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 366009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366009
Therefore, the GCF of Fractions 376/601,881/609 is 1/366009
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 601,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,609) x common factors =1 x 1 = 1
LCM(601,609) = ( 601 × 609 ) / 1
LCM(601,609) = 366009 / 1
LCM(601,609) = 366009
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 376/601, 881/609?
Answer: GCF of Numerators as per given numbers 376/601, 881/609 is
GCF of Numerators i.e. for 376,881 is 1
LCM of denominators i.e. for 601,609 is 366009.
Thus, GCF of Fractions is 1/366009.Finally, GCF of Fractions for 376/601, 881/609 is 1/366009.