Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9932/15,5328/284
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 9932,5328
Greatest Common Factor of Numerators i.e. GCF of 9932,5328 is 4 .
LCM of Denominators means LCM of 15,284 as per the given fractions.
LCM of 15,284 is 4260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9932,5328
2 | 9932, 5328 |
2 | 4966, 2664 |
2483, 1332 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9932
List of positive integer factors of 9932 that divides 9932 without a remainder.
1,2,4,13,26,52,191,382,764,2483,4966,9932
Factors of 5328
List of positive integer factors of 5328 that divides 5328 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328
Greatest Common Factor
We found the factors 9932,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 9932,5328 is 4.
Lets's calculate LCM of 15,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 4260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4260
Therefore, the GCF of Fractions 9932/15,5328/284 is 4/4260
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 15,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,284) x common factors =1 x 1 = 1
LCM(15,284) = ( 15 × 284 ) / 1
LCM(15,284) = 4260 / 1
LCM(15,284) = 4260
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 9932/15, 5328/284?
Answer: GCF of Numerators as per given numbers 9932/15, 5328/284 is
GCF of Numerators i.e. for 9932,5328 is 4
LCM of denominators i.e. for 15,284 is 4260.
Thus, GCF of Fractions is 4/4260.Finally, GCF of Fractions for 9932/15, 5328/284 is 4/4260.