Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1173/202,1081/330
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 1173,1081
Greatest Common Factor of Numerators i.e. GCF of 1173,1081 is 23 .
LCM of Denominators means LCM of 202,330 as per the given fractions.
LCM of 202,330 is 33330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1173,1081
23 | 1173, 1081 |
51, 47 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 1173
List of positive integer factors of 1173 that divides 1173 without a remainder.
1,3,17,23,51,69,391,1173
Factors of 1081
List of positive integer factors of 1081 that divides 1081 without a remainder.
1,23,47,1081
Greatest Common Factor
We found the factors 1173,1081 . The biggest common factor number is the GCF number.
So the greatest common factor 1173,1081 is 23.
Lets's calculate LCM of 202,330
2 | 202, 330 |
101, 165 |
∴ So the LCM of the given numbers is 2 x 101 x 165 = 33330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/33330
Therefore, the GCF of Fractions 1173/202,1081/330 is 23/33330
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 202,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,330) x common factors =2 x 1 = 2
LCM(202,330) = ( 202 × 330 ) / 2
LCM(202,330) = 66660 / 2
LCM(202,330) = 33330
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 1173/202, 1081/330?
Answer: GCF of Numerators as per given numbers 1173/202, 1081/330 is
GCF of Numerators i.e. for 1173,1081 is 23
LCM of denominators i.e. for 202,330 is 33330.
Thus, GCF of Fractions is 23/33330.Finally, GCF of Fractions for 1173/202, 1081/330 is 23/33330.