Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7359/398,7324/6409
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 7359,7324
Greatest Common Factor of Numerators i.e. GCF of 7359,7324 is 1 .
LCM of Denominators means LCM of 398,6409 as per the given fractions.
LCM of 398,6409 is 2550782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7359,7324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7359
List of positive integer factors of 7359 that divides 7359 without a remainder.
1,3,11,33,223,669,2453,7359
Factors of 7324
List of positive integer factors of 7324 that divides 7324 without a remainder.
1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors 7359,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,7324 is 1.
Lets's calculate LCM of 398,6409
Given numbers has no common factors except 1. So, there LCM is their product i.e 2550782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2550782
Therefore, the GCF of Fractions 7359/398,7324/6409 is 1/2550782
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 398,6409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,6409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,6409) x common factors =1 x 1 = 1
LCM(398,6409) = ( 398 × 6409 ) / 1
LCM(398,6409) = 2550782 / 1
LCM(398,6409) = 2550782
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 7359/398, 7324/6409?
Answer: GCF of Numerators as per given numbers 7359/398, 7324/6409 is
GCF of Numerators i.e. for 7359,7324 is 1
LCM of denominators i.e. for 398,6409 is 2550782.
Thus, GCF of Fractions is 1/2550782.Finally, GCF of Fractions for 7359/398, 7324/6409 is 1/2550782.