Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5902/230,3274/9387
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 5902,3274
Greatest Common Factor of Numerators i.e. GCF of 5902,3274 is 2 .
LCM of Denominators means LCM of 230,9387 as per the given fractions.
LCM of 230,9387 is 2159010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5902,3274
2 | 5902, 3274 |
2951, 1637 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5902
List of positive integer factors of 5902 that divides 5902 without a remainder.
1,2,13,26,227,454,2951,5902
Factors of 3274
List of positive integer factors of 3274 that divides 3274 without a remainder.
1,2,1637,3274
Greatest Common Factor
We found the factors 5902,3274 . The biggest common factor number is the GCF number.
So the greatest common factor 5902,3274 is 2.
Lets's calculate LCM of 230,9387
Given numbers has no common factors except 1. So, there LCM is their product i.e 2159010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2159010
Therefore, the GCF of Fractions 5902/230,3274/9387 is 2/2159010
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 230,9387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,9387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,9387) x common factors =1 x 1 = 1
LCM(230,9387) = ( 230 × 9387 ) / 1
LCM(230,9387) = 2159010 / 1
LCM(230,9387) = 2159010
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 5902/230, 3274/9387?
Answer: GCF of Numerators as per given numbers 5902/230, 3274/9387 is
GCF of Numerators i.e. for 5902,3274 is 2
LCM of denominators i.e. for 230,9387 is 2159010.
Thus, GCF of Fractions is 2/2159010.Finally, GCF of Fractions for 5902/230, 3274/9387 is 2/2159010.