Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4339/416,6684/7300
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 4339,6684
Greatest Common Factor of Numerators i.e. GCF of 4339,6684 is 1 .
LCM of Denominators means LCM of 416,7300 as per the given fractions.
LCM of 416,7300 is 759200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4339,6684
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4339
List of positive integer factors of 4339 that divides 4339 without a remainder.
1,4339
Factors of 6684
List of positive integer factors of 6684 that divides 6684 without a remainder.
1,2,3,4,6,12,557,1114,1671,2228,3342,6684
Greatest Common Factor
We found the factors 4339,6684 . The biggest common factor number is the GCF number.
So the greatest common factor 4339,6684 is 1.
Lets's calculate LCM of 416,7300
2 | 416, 7300 |
2 | 208, 3650 |
104, 1825 |
∴ So the LCM of the given numbers is 2 x 2 x 104 x 1825 = 759200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759200
Therefore, the GCF of Fractions 4339/416,6684/7300 is 1/759200
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 416,7300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,7300) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(416,7300) x common factors =4 x 1 = 4
LCM(416,7300) = ( 416 × 7300 ) / 4
LCM(416,7300) = 3036800 / 4
LCM(416,7300) = 759200
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 4339/416, 6684/7300?
Answer: GCF of Numerators as per given numbers 4339/416, 6684/7300 is
GCF of Numerators i.e. for 4339,6684 is 1
LCM of denominators i.e. for 416,7300 is 759200.
Thus, GCF of Fractions is 1/759200.Finally, GCF of Fractions for 4339/416, 6684/7300 is 1/759200.