Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2199/78,3916/426
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 2199,3916
Greatest Common Factor of Numerators i.e. GCF of 2199,3916 is 1 .
LCM of Denominators means LCM of 78,426 as per the given fractions.
LCM of 78,426 is 5538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2199,3916
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2199
List of positive integer factors of 2199 that divides 2199 without a remainder.
1,3,733,2199
Factors of 3916
List of positive integer factors of 3916 that divides 3916 without a remainder.
1,2,4,11,22,44,89,178,356,979,1958,3916
Greatest Common Factor
We found the factors 2199,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 2199,3916 is 1.
Lets's calculate LCM of 78,426
2 | 78, 426 |
3 | 39, 213 |
13, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 71 = 5538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5538
Therefore, the GCF of Fractions 2199/78,3916/426 is 1/5538
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 78,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,426) x common factors =6 x 1 = 6
LCM(78,426) = ( 78 × 426 ) / 6
LCM(78,426) = 33228 / 6
LCM(78,426) = 5538
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 2199/78, 3916/426?
Answer: GCF of Numerators as per given numbers 2199/78, 3916/426 is
GCF of Numerators i.e. for 2199,3916 is 1
LCM of denominators i.e. for 78,426 is 5538.
Thus, GCF of Fractions is 1/5538.Finally, GCF of Fractions for 2199/78, 3916/426 is 1/5538.