Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 251/631,6469/1985
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 251,6469
Greatest Common Factor of Numerators i.e. GCF of 251,6469 is 1 .
LCM of Denominators means LCM of 631,1985 as per the given fractions.
LCM of 631,1985 is 1252535 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 251,6469
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 6469
List of positive integer factors of 6469 that divides 6469 without a remainder.
1,6469
Greatest Common Factor
We found the factors 251,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 251,6469 is 1.
Lets's calculate LCM of 631,1985
Given numbers has no common factors except 1. So, there LCM is their product i.e 1252535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1252535
Therefore, the GCF of Fractions 251/631,6469/1985 is 1/1252535
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 631,1985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,1985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,1985) x common factors =1 x 1 = 1
LCM(631,1985) = ( 631 × 1985 ) / 1
LCM(631,1985) = 1252535 / 1
LCM(631,1985) = 1252535
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 251/631, 6469/1985?
Answer: GCF of Numerators as per given numbers 251/631, 6469/1985 is
GCF of Numerators i.e. for 251,6469 is 1
LCM of denominators i.e. for 631,1985 is 1252535.
Thus, GCF of Fractions is 1/1252535.Finally, GCF of Fractions for 251/631, 6469/1985 is 1/1252535.