Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4595/321,1888/4075
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 4595,1888
Greatest Common Factor of Numerators i.e. GCF of 4595,1888 is 1 .
LCM of Denominators means LCM of 321,4075 as per the given fractions.
LCM of 321,4075 is 1308075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4595,1888
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4595
List of positive integer factors of 4595 that divides 4595 without a remainder.
1,5,919,4595
Factors of 1888
List of positive integer factors of 1888 that divides 1888 without a remainder.
1,2,4,8,16,32,59,118,236,472,944,1888
Greatest Common Factor
We found the factors 4595,1888 . The biggest common factor number is the GCF number.
So the greatest common factor 4595,1888 is 1.
Lets's calculate LCM of 321,4075
Given numbers has no common factors except 1. So, there LCM is their product i.e 1308075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1308075
Therefore, the GCF of Fractions 4595/321,1888/4075 is 1/1308075
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 321,4075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,4075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,4075) x common factors =1 x 1 = 1
LCM(321,4075) = ( 321 × 4075 ) / 1
LCM(321,4075) = 1308075 / 1
LCM(321,4075) = 1308075
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 4595/321, 1888/4075?
Answer: GCF of Numerators as per given numbers 4595/321, 1888/4075 is
GCF of Numerators i.e. for 4595,1888 is 1
LCM of denominators i.e. for 321,4075 is 1308075.
Thus, GCF of Fractions is 1/1308075.Finally, GCF of Fractions for 4595/321, 1888/4075 is 1/1308075.