Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/81,973/25,656/806
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 60,973,656
Greatest Common Factor of Numerators i.e. GCF of 60,973,656 is 1 .
LCM of Denominators means LCM of 81,25,806 as per the given fractions.
LCM of 81,25,806 is 1632150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,973,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 60,973,656 . The biggest common factor number is the GCF number.
So the greatest common factor 60,973,656 is 1.
Lets's calculate LCM of 81,25,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 1632150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1632150
Therefore, the GCF of Fractions 60/81,973/25,656/806 is 1/1632150
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 81,25,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,25,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,25,806) x common factors =1 x 1 = 1
LCM(81,25,806) = ( 81 × 25 × 806 ) / 1
LCM(81,25,806) = 1632150 / 1
LCM(81,25,806) = 1632150
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 60/81, 973/25, 656/806?
Answer: GCF of Numerators as per given numbers 60/81, 973/25, 656/806 is
GCF of Numerators i.e. for 60,973,656 is 1
LCM of denominators i.e. for 81,25,806 is 1632150.
Thus, GCF of Fractions is 1/1632150.Finally, GCF of Fractions for 60/81, 973/25, 656/806 is 1/1632150.