Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2064/118,8771/4104
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 2064,8771
Greatest Common Factor of Numerators i.e. GCF of 2064,8771 is 1 .
LCM of Denominators means LCM of 118,4104 as per the given fractions.
LCM of 118,4104 is 242136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2064,8771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2064
List of positive integer factors of 2064 that divides 2064 without a remainder.
1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064
Factors of 8771
List of positive integer factors of 8771 that divides 8771 without a remainder.
1,7,49,179,1253,8771
Greatest Common Factor
We found the factors 2064,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 2064,8771 is 1.
Lets's calculate LCM of 118,4104
2 | 118, 4104 |
59, 2052 |
∴ So the LCM of the given numbers is 2 x 59 x 2052 = 242136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242136
Therefore, the GCF of Fractions 2064/118,8771/4104 is 1/242136
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 118,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,4104) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,4104) x common factors =2 x 1 = 2
LCM(118,4104) = ( 118 × 4104 ) / 2
LCM(118,4104) = 484272 / 2
LCM(118,4104) = 242136
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 2064/118, 8771/4104?
Answer: GCF of Numerators as per given numbers 2064/118, 8771/4104 is
GCF of Numerators i.e. for 2064,8771 is 1
LCM of denominators i.e. for 118,4104 is 242136.
Thus, GCF of Fractions is 1/242136.Finally, GCF of Fractions for 2064/118, 8771/4104 is 1/242136.