Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3599/651,9331/2443
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 3599,9331
Greatest Common Factor of Numerators i.e. GCF of 3599,9331 is 1 .
LCM of Denominators means LCM of 651,2443 as per the given fractions.
LCM of 651,2443 is 227199 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3599,9331
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3599
List of positive integer factors of 3599 that divides 3599 without a remainder.
1,59,61,3599
Factors of 9331
List of positive integer factors of 9331 that divides 9331 without a remainder.
1,7,31,43,217,301,1333,9331
Greatest Common Factor
We found the factors 3599,9331 . The biggest common factor number is the GCF number.
So the greatest common factor 3599,9331 is 1.
Lets's calculate LCM of 651,2443
7 | 651, 2443 |
93, 349 |
∴ So the LCM of the given numbers is 7 x 93 x 349 = 227199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227199
Therefore, the GCF of Fractions 3599/651,9331/2443 is 1/227199
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 651,2443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,2443) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(651,2443) x common factors =7 x 1 = 7
LCM(651,2443) = ( 651 × 2443 ) / 7
LCM(651,2443) = 1590393 / 7
LCM(651,2443) = 227199
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 3599/651, 9331/2443?
Answer: GCF of Numerators as per given numbers 3599/651, 9331/2443 is
GCF of Numerators i.e. for 3599,9331 is 1
LCM of denominators i.e. for 651,2443 is 227199.
Thus, GCF of Fractions is 1/227199.Finally, GCF of Fractions for 3599/651, 9331/2443 is 1/227199.