Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1842/62,6375/916
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 1842,6375
Greatest Common Factor of Numerators i.e. GCF of 1842,6375 is 3 .
LCM of Denominators means LCM of 62,916 as per the given fractions.
LCM of 62,916 is 28396 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1842,6375
3 | 1842, 6375 |
614, 2125 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1842
List of positive integer factors of 1842 that divides 1842 without a remainder.
1,2,3,6,307,614,921,1842
Factors of 6375
List of positive integer factors of 6375 that divides 6375 without a remainder.
1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375
Greatest Common Factor
We found the factors 1842,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 1842,6375 is 3.
Lets's calculate LCM of 62,916
2 | 62, 916 |
31, 458 |
∴ So the LCM of the given numbers is 2 x 31 x 458 = 28396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28396
Therefore, the GCF of Fractions 1842/62,6375/916 is 3/28396
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 62,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,916) x common factors =2 x 1 = 2
LCM(62,916) = ( 62 × 916 ) / 2
LCM(62,916) = 56792 / 2
LCM(62,916) = 28396
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 1842/62, 6375/916?
Answer: GCF of Numerators as per given numbers 1842/62, 6375/916 is
GCF of Numerators i.e. for 1842,6375 is 3
LCM of denominators i.e. for 62,916 is 28396.
Thus, GCF of Fractions is 3/28396.Finally, GCF of Fractions for 1842/62, 6375/916 is 3/28396.