Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9033/113,3599/884
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 9033,3599
Greatest Common Factor of Numerators i.e. GCF of 9033,3599 is 1 .
LCM of Denominators means LCM of 113,884 as per the given fractions.
LCM of 113,884 is 99892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9033,3599
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9033
List of positive integer factors of 9033 that divides 9033 without a remainder.
1,3,3011,9033
Factors of 3599
List of positive integer factors of 3599 that divides 3599 without a remainder.
1,59,61,3599
Greatest Common Factor
We found the factors 9033,3599 . The biggest common factor number is the GCF number.
So the greatest common factor 9033,3599 is 1.
Lets's calculate LCM of 113,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 99892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99892
Therefore, the GCF of Fractions 9033/113,3599/884 is 1/99892
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 113,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,884) x common factors =1 x 1 = 1
LCM(113,884) = ( 113 × 884 ) / 1
LCM(113,884) = 99892 / 1
LCM(113,884) = 99892
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 9033/113, 3599/884?
Answer: GCF of Numerators as per given numbers 9033/113, 3599/884 is
GCF of Numerators i.e. for 9033,3599 is 1
LCM of denominators i.e. for 113,884 is 99892.
Thus, GCF of Fractions is 1/99892.Finally, GCF of Fractions for 9033/113, 3599/884 is 1/99892.