Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1490/569,8079/3823
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 1490,8079
Greatest Common Factor of Numerators i.e. GCF of 1490,8079 is 1 .
LCM of Denominators means LCM of 569,3823 as per the given fractions.
LCM of 569,3823 is 2175287 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1490,8079
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1490
List of positive integer factors of 1490 that divides 1490 without a remainder.
1,2,5,10,149,298,745,1490
Factors of 8079
List of positive integer factors of 8079 that divides 8079 without a remainder.
1,3,2693,8079
Greatest Common Factor
We found the factors 1490,8079 . The biggest common factor number is the GCF number.
So the greatest common factor 1490,8079 is 1.
Lets's calculate LCM of 569,3823
Given numbers has no common factors except 1. So, there LCM is their product i.e 2175287
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2175287
Therefore, the GCF of Fractions 1490/569,8079/3823 is 1/2175287
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 569,3823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,3823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,3823) x common factors =1 x 1 = 1
LCM(569,3823) = ( 569 × 3823 ) / 1
LCM(569,3823) = 2175287 / 1
LCM(569,3823) = 2175287
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 1490/569, 8079/3823?
Answer: GCF of Numerators as per given numbers 1490/569, 8079/3823 is
GCF of Numerators i.e. for 1490,8079 is 1
LCM of denominators i.e. for 569,3823 is 2175287.
Thus, GCF of Fractions is 1/2175287.Finally, GCF of Fractions for 1490/569, 8079/3823 is 1/2175287.