Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6680/25,1603/834
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 6680,1603
Greatest Common Factor of Numerators i.e. GCF of 6680,1603 is 1 .
LCM of Denominators means LCM of 25,834 as per the given fractions.
LCM of 25,834 is 20850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6680,1603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6680
List of positive integer factors of 6680 that divides 6680 without a remainder.
1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Factors of 1603
List of positive integer factors of 1603 that divides 1603 without a remainder.
1,7,229,1603
Greatest Common Factor
We found the factors 6680,1603 . The biggest common factor number is the GCF number.
So the greatest common factor 6680,1603 is 1.
Lets's calculate LCM of 25,834
Given numbers has no common factors except 1. So, there LCM is their product i.e 20850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20850
Therefore, the GCF of Fractions 6680/25,1603/834 is 1/20850
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 25,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,834) x common factors =1 x 1 = 1
LCM(25,834) = ( 25 × 834 ) / 1
LCM(25,834) = 20850 / 1
LCM(25,834) = 20850
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 6680/25, 1603/834?
Answer: GCF of Numerators as per given numbers 6680/25, 1603/834 is
GCF of Numerators i.e. for 6680,1603 is 1
LCM of denominators i.e. for 25,834 is 20850.
Thus, GCF of Fractions is 1/20850.Finally, GCF of Fractions for 6680/25, 1603/834 is 1/20850.