Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3644/47,1830/434
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 3644,1830
Greatest Common Factor of Numerators i.e. GCF of 3644,1830 is 2 .
LCM of Denominators means LCM of 47,434 as per the given fractions.
LCM of 47,434 is 20398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3644,1830
2 | 3644, 1830 |
1822, 915 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3644
List of positive integer factors of 3644 that divides 3644 without a remainder.
1,2,4,911,1822,3644
Factors of 1830
List of positive integer factors of 1830 that divides 1830 without a remainder.
1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Greatest Common Factor
We found the factors 3644,1830 . The biggest common factor number is the GCF number.
So the greatest common factor 3644,1830 is 2.
Lets's calculate LCM of 47,434
Given numbers has no common factors except 1. So, there LCM is their product i.e 20398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20398
Therefore, the GCF of Fractions 3644/47,1830/434 is 2/20398
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 47,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,434) x common factors =1 x 1 = 1
LCM(47,434) = ( 47 × 434 ) / 1
LCM(47,434) = 20398 / 1
LCM(47,434) = 20398
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 3644/47, 1830/434?
Answer: GCF of Numerators as per given numbers 3644/47, 1830/434 is
GCF of Numerators i.e. for 3644,1830 is 2
LCM of denominators i.e. for 47,434 is 20398.
Thus, GCF of Fractions is 2/20398.Finally, GCF of Fractions for 3644/47, 1830/434 is 2/20398.