Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5610/192,5490/9925
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 5610,5490
Greatest Common Factor of Numerators i.e. GCF of 5610,5490 is 30 .
LCM of Denominators means LCM of 192,9925 as per the given fractions.
LCM of 192,9925 is 1905600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5610,5490
2 | 5610, 5490 |
3 | 2805, 2745 |
5 | 935, 915 |
187, 183 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 5610
List of positive integer factors of 5610 that divides 5610 without a remainder.
1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Factors of 5490
List of positive integer factors of 5490 that divides 5490 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Greatest Common Factor
We found the factors 5610,5490 . The biggest common factor number is the GCF number.
So the greatest common factor 5610,5490 is 30.
Lets's calculate LCM of 192,9925
Given numbers has no common factors except 1. So, there LCM is their product i.e 1905600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1905600
Therefore, the GCF of Fractions 5610/192,5490/9925 is 30/1905600
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 192,9925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,9925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,9925) x common factors =1 x 1 = 1
LCM(192,9925) = ( 192 × 9925 ) / 1
LCM(192,9925) = 1905600 / 1
LCM(192,9925) = 1905600
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 5610/192, 5490/9925?
Answer: GCF of Numerators as per given numbers 5610/192, 5490/9925 is
GCF of Numerators i.e. for 5610,5490 is 30
LCM of denominators i.e. for 192,9925 is 1905600.
Thus, GCF of Fractions is 30/1905600.Finally, GCF of Fractions for 5610/192, 5490/9925 is 30/1905600.