Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1838/773,8927/610
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 1838,8927
Greatest Common Factor of Numerators i.e. GCF of 1838,8927 is 1 .
LCM of Denominators means LCM of 773,610 as per the given fractions.
LCM of 773,610 is 471530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1838,8927
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1838
List of positive integer factors of 1838 that divides 1838 without a remainder.
1,2,919,1838
Factors of 8927
List of positive integer factors of 8927 that divides 8927 without a remainder.
1,79,113,8927
Greatest Common Factor
We found the factors 1838,8927 . The biggest common factor number is the GCF number.
So the greatest common factor 1838,8927 is 1.
Lets's calculate LCM of 773,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 471530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/471530
Therefore, the GCF of Fractions 1838/773,8927/610 is 1/471530
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 773,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,610) x common factors =1 x 1 = 1
LCM(773,610) = ( 773 × 610 ) / 1
LCM(773,610) = 471530 / 1
LCM(773,610) = 471530
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 1838/773, 8927/610?
Answer: GCF of Numerators as per given numbers 1838/773, 8927/610 is
GCF of Numerators i.e. for 1838,8927 is 1
LCM of denominators i.e. for 773,610 is 471530.
Thus, GCF of Fractions is 1/471530.Finally, GCF of Fractions for 1838/773, 8927/610 is 1/471530.