Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3003/27,7170/387
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 3003,7170
Greatest Common Factor of Numerators i.e. GCF of 3003,7170 is 3 .
LCM of Denominators means LCM of 27,387 as per the given fractions.
LCM of 27,387 is 1161 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3003,7170
3 | 3003, 7170 |
1001, 2390 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3003
List of positive integer factors of 3003 that divides 3003 without a remainder.
1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Factors of 7170
List of positive integer factors of 7170 that divides 7170 without a remainder.
1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170
Greatest Common Factor
We found the factors 3003,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 3003,7170 is 3.
Lets's calculate LCM of 27,387
3 | 27, 387 |
3 | 9, 129 |
3, 43 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 43 = 1161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1161
Therefore, the GCF of Fractions 3003/27,7170/387 is 3/1161
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 27,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,387) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(27,387) x common factors =9 x 1 = 9
LCM(27,387) = ( 27 × 387 ) / 9
LCM(27,387) = 10449 / 9
LCM(27,387) = 1161
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 3003/27, 7170/387?
Answer: GCF of Numerators as per given numbers 3003/27, 7170/387 is
GCF of Numerators i.e. for 3003,7170 is 3
LCM of denominators i.e. for 27,387 is 1161.
Thus, GCF of Fractions is 3/1161.Finally, GCF of Fractions for 3003/27, 7170/387 is 3/1161.