Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 671/23,1059/587
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 671,1059
Greatest Common Factor of Numerators i.e. GCF of 671,1059 is 1 .
LCM of Denominators means LCM of 23,587 as per the given fractions.
LCM of 23,587 is 13501 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 671,1059
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 1059
List of positive integer factors of 1059 that divides 1059 without a remainder.
1,3,353,1059
Greatest Common Factor
We found the factors 671,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 671,1059 is 1.
Lets's calculate LCM of 23,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 13501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13501
Therefore, the GCF of Fractions 671/23,1059/587 is 1/13501
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 23,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,587) x common factors =1 x 1 = 1
LCM(23,587) = ( 23 × 587 ) / 1
LCM(23,587) = 13501 / 1
LCM(23,587) = 13501
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 671/23, 1059/587?
Answer: GCF of Numerators as per given numbers 671/23, 1059/587 is
GCF of Numerators i.e. for 671,1059 is 1
LCM of denominators i.e. for 23,587 is 13501.
Thus, GCF of Fractions is 1/13501.Finally, GCF of Fractions for 671/23, 1059/587 is 1/13501.