Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1660/677,8927/631
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 1660,8927
Greatest Common Factor of Numerators i.e. GCF of 1660,8927 is 1 .
LCM of Denominators means LCM of 677,631 as per the given fractions.
LCM of 677,631 is 427187 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1660,8927
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1660
List of positive integer factors of 1660 that divides 1660 without a remainder.
1,2,4,5,10,20,83,166,332,415,830,1660
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 1660,8927 . The biggest common factor number is the GCF number.
So the greatest common factor 1660,8927 is 1.
Lets's calculate LCM of 677,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 427187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427187
Therefore, the GCF of Fractions 1660/677,8927/631 is 1/427187
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 677,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,631) x common factors =1 x 1 = 1
LCM(677,631) = ( 677 × 631 ) / 1
LCM(677,631) = 427187 / 1
LCM(677,631) = 427187
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 1660/677, 8927/631?
Answer: GCF of Numerators as per given numbers 1660/677, 8927/631 is
GCF of Numerators i.e. for 1660,8927 is 1
LCM of denominators i.e. for 677,631 is 427187.
Thus, GCF of Fractions is 1/427187.Finally, GCF of Fractions for 1660/677, 8927/631 is 1/427187.