Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2390/687,3394/387
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 2390,3394
Greatest Common Factor of Numerators i.e. GCF of 2390,3394 is 2 .
LCM of Denominators means LCM of 687,387 as per the given fractions.
LCM of 687,387 is 88623 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2390,3394
2 | 2390, 3394 |
1195, 1697 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2390
List of positive integer factors of 2390 that divides 2390 without a remainder.
1,2,5,10,239,478,1195,2390
Factors of 3394
List of positive integer factors of 3394 that divides 3394 without a remainder.
1,2,1697,3394
Greatest Common Factor
We found the factors 2390,3394 . The biggest common factor number is the GCF number.
So the greatest common factor 2390,3394 is 2.
Lets's calculate LCM of 687,387
3 | 687, 387 |
229, 129 |
∴ So the LCM of the given numbers is 3 x 229 x 129 = 88623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88623
Therefore, the GCF of Fractions 2390/687,3394/387 is 2/88623
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 687,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,387) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,387) x common factors =3 x 1 = 3
LCM(687,387) = ( 687 × 387 ) / 3
LCM(687,387) = 265869 / 3
LCM(687,387) = 88623
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 2390/687, 3394/387?
Answer: GCF of Numerators as per given numbers 2390/687, 3394/387 is
GCF of Numerators i.e. for 2390,3394 is 2
LCM of denominators i.e. for 687,387 is 88623.
Thus, GCF of Fractions is 2/88623.Finally, GCF of Fractions for 2390/687, 3394/387 is 2/88623.