Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1914/297,1810/432
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 1914,1810
Greatest Common Factor of Numerators i.e. GCF of 1914,1810 is 2 .
LCM of Denominators means LCM of 297,432 as per the given fractions.
LCM of 297,432 is 4752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1914,1810
2 | 1914, 1810 |
957, 905 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1914
List of positive integer factors of 1914 that divides 1914 without a remainder.
1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Factors of 1810
List of positive integer factors of 1810 that divides 1810 without a remainder.
1,2,5,10,181,362,905,1810
Greatest Common Factor
We found the factors 1914,1810 . The biggest common factor number is the GCF number.
So the greatest common factor 1914,1810 is 2.
Lets's calculate LCM of 297,432
3 | 297, 432 |
3 | 99, 144 |
3 | 33, 48 |
11, 16 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 16 = 4752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4752
Therefore, the GCF of Fractions 1914/297,1810/432 is 2/4752
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 297,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,432) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(297,432) x common factors =27 x 1 = 27
LCM(297,432) = ( 297 × 432 ) / 27
LCM(297,432) = 128304 / 27
LCM(297,432) = 4752
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 1914/297, 1810/432?
Answer: GCF of Numerators as per given numbers 1914/297, 1810/432 is
GCF of Numerators i.e. for 1914,1810 is 2
LCM of denominators i.e. for 297,432 is 4752.
Thus, GCF of Fractions is 2/4752.Finally, GCF of Fractions for 1914/297, 1810/432 is 2/4752.