Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 366/26,1254/109
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 366,1254
Greatest Common Factor of Numerators i.e. GCF of 366,1254 is 6 .
LCM of Denominators means LCM of 26,109 as per the given fractions.
LCM of 26,109 is 2834 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 366,1254
2 | 366, 1254 |
3 | 183, 627 |
61, 209 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 1254
List of positive integer factors of 1254 that divides 1254 without a remainder.
1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Greatest Common Factor
We found the factors 366,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 366,1254 is 6.
Lets's calculate LCM of 26,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 2834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2834
Therefore, the GCF of Fractions 366/26,1254/109 is 6/2834
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 26,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,109) x common factors =1 x 1 = 1
LCM(26,109) = ( 26 × 109 ) / 1
LCM(26,109) = 2834 / 1
LCM(26,109) = 2834
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 366/26, 1254/109?
Answer: GCF of Numerators as per given numbers 366/26, 1254/109 is
GCF of Numerators i.e. for 366,1254 is 6
LCM of denominators i.e. for 26,109 is 2834.
Thus, GCF of Fractions is 6/2834.Finally, GCF of Fractions for 366/26, 1254/109 is 6/2834.