Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1745/60,6811/989
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 1745,6811
Greatest Common Factor of Numerators i.e. GCF of 1745,6811 is 1 .
LCM of Denominators means LCM of 60,989 as per the given fractions.
LCM of 60,989 is 59340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1745,6811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1745
List of positive integer factors of 1745 that divides 1745 without a remainder.
1,5,349,1745
Factors of 6811
List of positive integer factors of 6811 that divides 6811 without a remainder.
1,7,49,139,973,6811
Greatest Common Factor
We found the factors 1745,6811 . The biggest common factor number is the GCF number.
So the greatest common factor 1745,6811 is 1.
Lets's calculate LCM of 60,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 59340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59340
Therefore, the GCF of Fractions 1745/60,6811/989 is 1/59340
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 60,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,989) x common factors =1 x 1 = 1
LCM(60,989) = ( 60 × 989 ) / 1
LCM(60,989) = 59340 / 1
LCM(60,989) = 59340
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 1745/60, 6811/989?
Answer: GCF of Numerators as per given numbers 1745/60, 6811/989 is
GCF of Numerators i.e. for 1745,6811 is 1
LCM of denominators i.e. for 60,989 is 59340.
Thus, GCF of Fractions is 1/59340.Finally, GCF of Fractions for 1745/60, 6811/989 is 1/59340.