Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5330/183,9321/3179
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 5330,9321
Greatest Common Factor of Numerators i.e. GCF of 5330,9321 is 13 .
LCM of Denominators means LCM of 183,3179 as per the given fractions.
LCM of 183,3179 is 581757 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5330,9321
13 | 5330, 9321 |
410, 717 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 5330
List of positive integer factors of 5330 that divides 5330 without a remainder.
1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Factors of 9321
List of positive integer factors of 9321 that divides 9321 without a remainder.
1,3,13,39,239,717,3107,9321
Greatest Common Factor
We found the factors 5330,9321 . The biggest common factor number is the GCF number.
So the greatest common factor 5330,9321 is 13.
Lets's calculate LCM of 183,3179
Given numbers has no common factors except 1. So, there LCM is their product i.e 581757
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/581757
Therefore, the GCF of Fractions 5330/183,9321/3179 is 13/581757
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 183,3179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,3179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,3179) x common factors =1 x 1 = 1
LCM(183,3179) = ( 183 × 3179 ) / 1
LCM(183,3179) = 581757 / 1
LCM(183,3179) = 581757
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 5330/183, 9321/3179?
Answer: GCF of Numerators as per given numbers 5330/183, 9321/3179 is
GCF of Numerators i.e. for 5330,9321 is 13
LCM of denominators i.e. for 183,3179 is 581757.
Thus, GCF of Fractions is 13/581757.Finally, GCF of Fractions for 5330/183, 9321/3179 is 13/581757.