Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 640/800,8741/868
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 640,8741
Greatest Common Factor of Numerators i.e. GCF of 640,8741 is 1 .
LCM of Denominators means LCM of 800,868 as per the given fractions.
LCM of 800,868 is 173600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 640,8741
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 8741
List of positive integer factors of 8741 that divides 8741 without a remainder.
1,8741
Greatest Common Factor
We found the factors 640,8741 . The biggest common factor number is the GCF number.
So the greatest common factor 640,8741 is 1.
Lets's calculate LCM of 800,868
2 | 800, 868 |
2 | 400, 434 |
200, 217 |
∴ So the LCM of the given numbers is 2 x 2 x 200 x 217 = 173600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173600
Therefore, the GCF of Fractions 640/800,8741/868 is 1/173600
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 800,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,868) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(800,868) x common factors =4 x 1 = 4
LCM(800,868) = ( 800 × 868 ) / 4
LCM(800,868) = 694400 / 4
LCM(800,868) = 173600
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 640/800, 8741/868?
Answer: GCF of Numerators as per given numbers 640/800, 8741/868 is
GCF of Numerators i.e. for 640,8741 is 1
LCM of denominators i.e. for 800,868 is 173600.
Thus, GCF of Fractions is 1/173600.Finally, GCF of Fractions for 640/800, 8741/868 is 1/173600.