Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 205/893,7545/363
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 205,7545
Greatest Common Factor of Numerators i.e. GCF of 205,7545 is 5 .
LCM of Denominators means LCM of 893,363 as per the given fractions.
LCM of 893,363 is 324159 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 205,7545
5 | 205, 7545 |
41, 1509 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 7545
List of positive integer factors of 7545 that divides 7545 without a remainder.
1,3,5,15,503,1509,2515,7545
Greatest Common Factor
We found the factors 205,7545 . The biggest common factor number is the GCF number.
So the greatest common factor 205,7545 is 5.
Lets's calculate LCM of 893,363
Given numbers has no common factors except 1. So, there LCM is their product i.e 324159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/324159
Therefore, the GCF of Fractions 205/893,7545/363 is 5/324159
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 893,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,363) x common factors =1 x 1 = 1
LCM(893,363) = ( 893 × 363 ) / 1
LCM(893,363) = 324159 / 1
LCM(893,363) = 324159
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 205/893, 7545/363?
Answer: GCF of Numerators as per given numbers 205/893, 7545/363 is
GCF of Numerators i.e. for 205,7545 is 5
LCM of denominators i.e. for 893,363 is 324159.
Thus, GCF of Fractions is 5/324159.Finally, GCF of Fractions for 205/893, 7545/363 is 5/324159.