Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6324/955,2892/616
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 6324,2892
Greatest Common Factor of Numerators i.e. GCF of 6324,2892 is 12 .
LCM of Denominators means LCM of 955,616 as per the given fractions.
LCM of 955,616 is 588280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6324,2892
2 | 6324, 2892 |
2 | 3162, 1446 |
3 | 1581, 723 |
527, 241 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 6324
List of positive integer factors of 6324 that divides 6324 without a remainder.
1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324
Factors of 2892
List of positive integer factors of 2892 that divides 2892 without a remainder.
1,2,3,4,6,12,241,482,723,964,1446,2892
Greatest Common Factor
We found the factors 6324,2892 . The biggest common factor number is the GCF number.
So the greatest common factor 6324,2892 is 12.
Lets's calculate LCM of 955,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 588280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/588280
Therefore, the GCF of Fractions 6324/955,2892/616 is 12/588280
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 955,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,616) x common factors =1 x 1 = 1
LCM(955,616) = ( 955 × 616 ) / 1
LCM(955,616) = 588280 / 1
LCM(955,616) = 588280
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 6324/955, 2892/616?
Answer: GCF of Numerators as per given numbers 6324/955, 2892/616 is
GCF of Numerators i.e. for 6324,2892 is 12
LCM of denominators i.e. for 955,616 is 588280.
Thus, GCF of Fractions is 12/588280.Finally, GCF of Fractions for 6324/955, 2892/616 is 12/588280.