Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/226,6786/949
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 455,6786
Greatest Common Factor of Numerators i.e. GCF of 455,6786 is 13 .
LCM of Denominators means LCM of 226,949 as per the given fractions.
LCM of 226,949 is 214474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,6786
13 | 455, 6786 |
35, 522 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 6786
List of positive integer factors of 6786 that divides 6786 without a remainder.
1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786
Greatest Common Factor
We found the factors 455,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 455,6786 is 13.
Lets's calculate LCM of 226,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 214474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/214474
Therefore, the GCF of Fractions 455/226,6786/949 is 13/214474
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 226,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,949) x common factors =1 x 1 = 1
LCM(226,949) = ( 226 × 949 ) / 1
LCM(226,949) = 214474 / 1
LCM(226,949) = 214474
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 455/226, 6786/949?
Answer: GCF of Numerators as per given numbers 455/226, 6786/949 is
GCF of Numerators i.e. for 455,6786 is 13
LCM of denominators i.e. for 226,949 is 214474.
Thus, GCF of Fractions is 13/214474.Finally, GCF of Fractions for 455/226, 6786/949 is 13/214474.