Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/773,4374/229
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 410,4374
Greatest Common Factor of Numerators i.e. GCF of 410,4374 is 2 .
LCM of Denominators means LCM of 773,229 as per the given fractions.
LCM of 773,229 is 177017 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 410,4374
2 | 410, 4374 |
205, 2187 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 4374
List of positive integer factors of 4374 that divides 4374 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374
Greatest Common Factor
We found the factors 410,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 410,4374 is 2.
Lets's calculate LCM of 773,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 177017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177017
Therefore, the GCF of Fractions 410/773,4374/229 is 2/177017
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 773,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,229) x common factors =1 x 1 = 1
LCM(773,229) = ( 773 × 229 ) / 1
LCM(773,229) = 177017 / 1
LCM(773,229) = 177017
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 410/773, 4374/229?
Answer: GCF of Numerators as per given numbers 410/773, 4374/229 is
GCF of Numerators i.e. for 410,4374 is 2
LCM of denominators i.e. for 773,229 is 177017.
Thus, GCF of Fractions is 2/177017.Finally, GCF of Fractions for 410/773, 4374/229 is 2/177017.