Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5442/390,7767/3525
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 5442,7767
Greatest Common Factor of Numerators i.e. GCF of 5442,7767 is 3 .
LCM of Denominators means LCM of 390,3525 as per the given fractions.
LCM of 390,3525 is 91650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5442,7767
3 | 5442, 7767 |
1814, 2589 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5442
List of positive integer factors of 5442 that divides 5442 without a remainder.
1,2,3,6,907,1814,2721,5442
Factors of 7767
List of positive integer factors of 7767 that divides 7767 without a remainder.
1,3,9,863,2589,7767
Greatest Common Factor
We found the factors 5442,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 5442,7767 is 3.
Lets's calculate LCM of 390,3525
3 | 390, 3525 |
5 | 130, 1175 |
26, 235 |
∴ So the LCM of the given numbers is 3 x 5 x 26 x 235 = 91650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91650
Therefore, the GCF of Fractions 5442/390,7767/3525 is 3/91650
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 390,3525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,3525) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(390,3525) x common factors =15 x 1 = 15
LCM(390,3525) = ( 390 × 3525 ) / 15
LCM(390,3525) = 1374750 / 15
LCM(390,3525) = 91650
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 5442/390, 7767/3525?
Answer: GCF of Numerators as per given numbers 5442/390, 7767/3525 is
GCF of Numerators i.e. for 5442,7767 is 3
LCM of denominators i.e. for 390,3525 is 91650.
Thus, GCF of Fractions is 3/91650.Finally, GCF of Fractions for 5442/390, 7767/3525 is 3/91650.