Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 453/979,2469/461
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 453,2469
Greatest Common Factor of Numerators i.e. GCF of 453,2469 is 3 .
LCM of Denominators means LCM of 979,461 as per the given fractions.
LCM of 979,461 is 451319 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 453,2469
3 | 453, 2469 |
151, 823 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 2469
List of positive integer factors of 2469 that divides 2469 without a remainder.
1,3,823,2469
Greatest Common Factor
We found the factors 453,2469 . The biggest common factor number is the GCF number.
So the greatest common factor 453,2469 is 3.
Lets's calculate LCM of 979,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 451319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/451319
Therefore, the GCF of Fractions 453/979,2469/461 is 3/451319
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 979,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,461) x common factors =1 x 1 = 1
LCM(979,461) = ( 979 × 461 ) / 1
LCM(979,461) = 451319 / 1
LCM(979,461) = 451319
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 453/979, 2469/461?
Answer: GCF of Numerators as per given numbers 453/979, 2469/461 is
GCF of Numerators i.e. for 453,2469 is 3
LCM of denominators i.e. for 979,461 is 451319.
Thus, GCF of Fractions is 3/451319.Finally, GCF of Fractions for 453/979, 2469/461 is 3/451319.