Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 867/31,2640/789
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 867,2640
Greatest Common Factor of Numerators i.e. GCF of 867,2640 is 3 .
LCM of Denominators means LCM of 31,789 as per the given fractions.
LCM of 31,789 is 24459 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 867,2640
3 | 867, 2640 |
289, 880 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 2640
List of positive integer factors of 2640 that divides 2640 without a remainder.
1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 867,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 867,2640 is 3.
Lets's calculate LCM of 31,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 24459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24459
Therefore, the GCF of Fractions 867/31,2640/789 is 3/24459
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 31,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,789) x common factors =1 x 1 = 1
LCM(31,789) = ( 31 × 789 ) / 1
LCM(31,789) = 24459 / 1
LCM(31,789) = 24459
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 867/31, 2640/789?
Answer: GCF of Numerators as per given numbers 867/31, 2640/789 is
GCF of Numerators i.e. for 867,2640 is 3
LCM of denominators i.e. for 31,789 is 24459.
Thus, GCF of Fractions is 3/24459.Finally, GCF of Fractions for 867/31, 2640/789 is 3/24459.