Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3585/785,2492/939
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 3585,2492
Greatest Common Factor of Numerators i.e. GCF of 3585,2492 is 1 .
LCM of Denominators means LCM of 785,939 as per the given fractions.
LCM of 785,939 is 737115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3585,2492
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3585
List of positive integer factors of 3585 that divides 3585 without a remainder.
1,3,5,15,239,717,1195,3585
Factors of 2492
List of positive integer factors of 2492 that divides 2492 without a remainder.
1,2,4,7,14,28,89,178,356,623,1246,2492
Greatest Common Factor
We found the factors 3585,2492 . The biggest common factor number is the GCF number.
So the greatest common factor 3585,2492 is 1.
Lets's calculate LCM of 785,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 737115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737115
Therefore, the GCF of Fractions 3585/785,2492/939 is 1/737115
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 785,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,939) x common factors =1 x 1 = 1
LCM(785,939) = ( 785 × 939 ) / 1
LCM(785,939) = 737115 / 1
LCM(785,939) = 737115
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 3585/785, 2492/939?
Answer: GCF of Numerators as per given numbers 3585/785, 2492/939 is
GCF of Numerators i.e. for 3585,2492 is 1
LCM of denominators i.e. for 785,939 is 737115.
Thus, GCF of Fractions is 1/737115.Finally, GCF of Fractions for 3585/785, 2492/939 is 1/737115.