Get help with finding GCF of fractions 5086/40, 6797/989 using GCF of Fractions Calculator to know the result 1/39560 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 5086/40, 6797/989 is 1/39560.
GCF(5086/40, 6797/989) = 1/39560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5086/40,6797/989
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 5086,6797
Greatest Common Factor of Numerators i.e. GCF of 5086,6797 is 1 .
LCM of Denominators means LCM of 40,989 as per the given fractions.
LCM of 40,989 is 39560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5086,6797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5086
List of positive integer factors of 5086 that divides 5086 without a remainder.
Factors of 6797
List of positive integer factors of 6797 that divides 6797 without a remainder.
Greatest Common Factor
We found the factors 5086,6797 . The biggest common factor number is the GCF number.
So the greatest common factor 5086,6797 is 1.
Lets's calculate LCM of 40,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 39560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39560
Therefore, the GCF of Fractions 5086/40,6797/989 is 1/39560
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 40,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,989) x common factors =1 x 1 = 1
LCM(40,989) = ( 40 × 989 ) / 1
LCM(40,989) = 39560 / 1
LCM(40,989) = 39560
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 5086/40, 6797/989?
Answer: GCF of Numerators as per given numbers 5086/40, 6797/989 is
GCF of Numerators i.e. for 5086,6797 is 1
LCM of denominators i.e. for 40,989 is 39560.
Thus, GCF of Fractions is 1/39560.Finally, GCF of Fractions for 5086/40, 6797/989 is 1/39560.