Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9387/38,9127/445
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 9387,9127
Greatest Common Factor of Numerators i.e. GCF of 9387,9127 is 1 .
LCM of Denominators means LCM of 38,445 as per the given fractions.
LCM of 38,445 is 16910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9387,9127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9387
List of positive integer factors of 9387 that divides 9387 without a remainder.
1,3,7,9,21,63,149,447,1043,1341,3129,9387
Factors of 9127
List of positive integer factors of 9127 that divides 9127 without a remainder.
1,9127
Greatest Common Factor
We found the factors 9387,9127 . The biggest common factor number is the GCF number.
So the greatest common factor 9387,9127 is 1.
Lets's calculate LCM of 38,445
Given numbers has no common factors except 1. So, there LCM is their product i.e 16910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16910
Therefore, the GCF of Fractions 9387/38,9127/445 is 1/16910
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 38,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,445) x common factors =1 x 1 = 1
LCM(38,445) = ( 38 × 445 ) / 1
LCM(38,445) = 16910 / 1
LCM(38,445) = 16910
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 9387/38, 9127/445?
Answer: GCF of Numerators as per given numbers 9387/38, 9127/445 is
GCF of Numerators i.e. for 9387,9127 is 1
LCM of denominators i.e. for 38,445 is 16910.
Thus, GCF of Fractions is 1/16910.Finally, GCF of Fractions for 9387/38, 9127/445 is 1/16910.