Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1684/758,5383/1699
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 1684,5383
Greatest Common Factor of Numerators i.e. GCF of 1684,5383 is 1 .
LCM of Denominators means LCM of 758,1699 as per the given fractions.
LCM of 758,1699 is 1287842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1684,5383
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1684
List of positive integer factors of 1684 that divides 1684 without a remainder.
1,2,4,421,842,1684
Factors of 5383
List of positive integer factors of 5383 that divides 5383 without a remainder.
1,7,769,5383
Greatest Common Factor
We found the factors 1684,5383 . The biggest common factor number is the GCF number.
So the greatest common factor 1684,5383 is 1.
Lets's calculate LCM of 758,1699
Given numbers has no common factors except 1. So, there LCM is their product i.e 1287842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1287842
Therefore, the GCF of Fractions 1684/758,5383/1699 is 1/1287842
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 758,1699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,1699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,1699) x common factors =1 x 1 = 1
LCM(758,1699) = ( 758 × 1699 ) / 1
LCM(758,1699) = 1287842 / 1
LCM(758,1699) = 1287842
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 1684/758, 5383/1699?
Answer: GCF of Numerators as per given numbers 1684/758, 5383/1699 is
GCF of Numerators i.e. for 1684,5383 is 1
LCM of denominators i.e. for 758,1699 is 1287842.
Thus, GCF of Fractions is 1/1287842.Finally, GCF of Fractions for 1684/758, 5383/1699 is 1/1287842.