Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4360/715,1881/1893
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 4360,1881
Greatest Common Factor of Numerators i.e. GCF of 4360,1881 is 1 .
LCM of Denominators means LCM of 715,1893 as per the given fractions.
LCM of 715,1893 is 1353495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4360,1881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4360
List of positive integer factors of 4360 that divides 4360 without a remainder.
1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360
Factors of 1881
List of positive integer factors of 1881 that divides 1881 without a remainder.
1,3,9,11,19,33,57,99,171,209,627,1881
Greatest Common Factor
We found the factors 4360,1881 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,1881 is 1.
Lets's calculate LCM of 715,1893
Given numbers has no common factors except 1. So, there LCM is their product i.e 1353495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1353495
Therefore, the GCF of Fractions 4360/715,1881/1893 is 1/1353495
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 715,1893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,1893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,1893) x common factors =1 x 1 = 1
LCM(715,1893) = ( 715 × 1893 ) / 1
LCM(715,1893) = 1353495 / 1
LCM(715,1893) = 1353495
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 4360/715, 1881/1893?
Answer: GCF of Numerators as per given numbers 4360/715, 1881/1893 is
GCF of Numerators i.e. for 4360,1881 is 1
LCM of denominators i.e. for 715,1893 is 1353495.
Thus, GCF of Fractions is 1/1353495.Finally, GCF of Fractions for 4360/715, 1881/1893 is 1/1353495.