Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6658/933,4137/673
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 6658,4137
Greatest Common Factor of Numerators i.e. GCF of 6658,4137 is 1 .
LCM of Denominators means LCM of 933,673 as per the given fractions.
LCM of 933,673 is 627909 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6658,4137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6658
List of positive integer factors of 6658 that divides 6658 without a remainder.
1,2,3329,6658
Factors of 4137
List of positive integer factors of 4137 that divides 4137 without a remainder.
1,3,7,21,197,591,1379,4137
Greatest Common Factor
We found the factors 6658,4137 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,4137 is 1.
Lets's calculate LCM of 933,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 627909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627909
Therefore, the GCF of Fractions 6658/933,4137/673 is 1/627909
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 933,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,673) x common factors =1 x 1 = 1
LCM(933,673) = ( 933 × 673 ) / 1
LCM(933,673) = 627909 / 1
LCM(933,673) = 627909
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 6658/933, 4137/673?
Answer: GCF of Numerators as per given numbers 6658/933, 4137/673 is
GCF of Numerators i.e. for 6658,4137 is 1
LCM of denominators i.e. for 933,673 is 627909.
Thus, GCF of Fractions is 1/627909.Finally, GCF of Fractions for 6658/933, 4137/673 is 1/627909.