Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8681/872,3740/864
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 8681,3740
Greatest Common Factor of Numerators i.e. GCF of 8681,3740 is 1 .
LCM of Denominators means LCM of 872,864 as per the given fractions.
LCM of 872,864 is 94176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8681,3740
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8681
List of positive integer factors of 8681 that divides 8681 without a remainder.
1,8681
Factors of 3740
List of positive integer factors of 3740 that divides 3740 without a remainder.
1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740
Greatest Common Factor
We found the factors 8681,3740 . The biggest common factor number is the GCF number.
So the greatest common factor 8681,3740 is 1.
Lets's calculate LCM of 872,864
2 | 872, 864 |
2 | 436, 432 |
2 | 218, 216 |
109, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 108 = 94176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94176
Therefore, the GCF of Fractions 8681/872,3740/864 is 1/94176
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 872,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,864) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,864) x common factors =8 x 1 = 8
LCM(872,864) = ( 872 × 864 ) / 8
LCM(872,864) = 753408 / 8
LCM(872,864) = 94176
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 8681/872, 3740/864?
Answer: GCF of Numerators as per given numbers 8681/872, 3740/864 is
GCF of Numerators i.e. for 8681,3740 is 1
LCM of denominators i.e. for 872,864 is 94176.
Thus, GCF of Fractions is 1/94176.Finally, GCF of Fractions for 8681/872, 3740/864 is 1/94176.