Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4294/576,9832/2010
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 4294,9832
Greatest Common Factor of Numerators i.e. GCF of 4294,9832 is 2 .
LCM of Denominators means LCM of 576,2010 as per the given fractions.
LCM of 576,2010 is 192960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4294,9832
2 | 4294, 9832 |
2147, 4916 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4294
List of positive integer factors of 4294 that divides 4294 without a remainder.
1,2,19,38,113,226,2147,4294
Factors of 9832
List of positive integer factors of 9832 that divides 9832 without a remainder.
1,2,4,8,1229,2458,4916,9832
Greatest Common Factor
We found the factors 4294,9832 . The biggest common factor number is the GCF number.
So the greatest common factor 4294,9832 is 2.
Lets's calculate LCM of 576,2010
2 | 576, 2010 |
3 | 288, 1005 |
96, 335 |
∴ So the LCM of the given numbers is 2 x 3 x 96 x 335 = 192960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192960
Therefore, the GCF of Fractions 4294/576,9832/2010 is 2/192960
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 576,2010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,2010) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(576,2010) x common factors =6 x 1 = 6
LCM(576,2010) = ( 576 × 2010 ) / 6
LCM(576,2010) = 1157760 / 6
LCM(576,2010) = 192960
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 4294/576, 9832/2010?
Answer: GCF of Numerators as per given numbers 4294/576, 9832/2010 is
GCF of Numerators i.e. for 4294,9832 is 2
LCM of denominators i.e. for 576,2010 is 192960.
Thus, GCF of Fractions is 2/192960.Finally, GCF of Fractions for 4294/576, 9832/2010 is 2/192960.