Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 973/1459,660/2015
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 973,660
Greatest Common Factor of Numerators i.e. GCF of 973,660 is 1 .
LCM of Denominators means LCM of 1459,2015 as per the given fractions.
LCM of 1459,2015 is 2939885 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 973,660
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 973,660 . The biggest common factor number is the GCF number.
So the greatest common factor 973,660 is 1.
Lets's calculate LCM of 1459,2015
Given numbers has no common factors except 1. So, there LCM is their product i.e 2939885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2939885
Therefore, the GCF of Fractions 973/1459,660/2015 is 1/2939885
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 1459,2015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1459,2015) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1459,2015) x common factors =1 x 1 = 1
LCM(1459,2015) = ( 1459 × 2015 ) / 1
LCM(1459,2015) = 2939885 / 1
LCM(1459,2015) = 2939885
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 973/1459, 660/2015?
Answer: GCF of Numerators as per given numbers 973/1459, 660/2015 is
GCF of Numerators i.e. for 973,660 is 1
LCM of denominators i.e. for 1459,2015 is 2939885.
Thus, GCF of Fractions is 1/2939885.Finally, GCF of Fractions for 973/1459, 660/2015 is 1/2939885.