Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4426/57,7354/804
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 4426,7354
Greatest Common Factor of Numerators i.e. GCF of 4426,7354 is 2 .
LCM of Denominators means LCM of 57,804 as per the given fractions.
LCM of 57,804 is 15276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4426,7354
2 | 4426, 7354 |
2213, 3677 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4426
List of positive integer factors of 4426 that divides 4426 without a remainder.
1,2,2213,4426
Factors of 7354
List of positive integer factors of 7354 that divides 7354 without a remainder.
1,2,3677,7354
Greatest Common Factor
We found the factors 4426,7354 . The biggest common factor number is the GCF number.
So the greatest common factor 4426,7354 is 2.
Lets's calculate LCM of 57,804
3 | 57, 804 |
19, 268 |
∴ So the LCM of the given numbers is 3 x 19 x 268 = 15276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15276
Therefore, the GCF of Fractions 4426/57,7354/804 is 2/15276
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 57,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,804) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,804) x common factors =3 x 1 = 3
LCM(57,804) = ( 57 × 804 ) / 3
LCM(57,804) = 45828 / 3
LCM(57,804) = 15276
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 4426/57, 7354/804?
Answer: GCF of Numerators as per given numbers 4426/57, 7354/804 is
GCF of Numerators i.e. for 4426,7354 is 2
LCM of denominators i.e. for 57,804 is 15276.
Thus, GCF of Fractions is 2/15276.Finally, GCF of Fractions for 4426/57, 7354/804 is 2/15276.