Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3349/459,1988/531
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 3349,1988
Greatest Common Factor of Numerators i.e. GCF of 3349,1988 is 1 .
LCM of Denominators means LCM of 459,531 as per the given fractions.
LCM of 459,531 is 27081 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3349,1988
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3349
List of positive integer factors of 3349 that divides 3349 without a remainder.
1,17,197,3349
Factors of 1988
List of positive integer factors of 1988 that divides 1988 without a remainder.
1,2,4,7,14,28,71,142,284,497,994,1988
Greatest Common Factor
We found the factors 3349,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 3349,1988 is 1.
Lets's calculate LCM of 459,531
3 | 459, 531 |
3 | 153, 177 |
51, 59 |
∴ So the LCM of the given numbers is 3 x 3 x 51 x 59 = 27081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27081
Therefore, the GCF of Fractions 3349/459,1988/531 is 1/27081
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 459,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,531) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(459,531) x common factors =9 x 1 = 9
LCM(459,531) = ( 459 × 531 ) / 9
LCM(459,531) = 243729 / 9
LCM(459,531) = 27081
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 3349/459, 1988/531?
Answer: GCF of Numerators as per given numbers 3349/459, 1988/531 is
GCF of Numerators i.e. for 3349,1988 is 1
LCM of denominators i.e. for 459,531 is 27081.
Thus, GCF of Fractions is 1/27081.Finally, GCF of Fractions for 3349/459, 1988/531 is 1/27081.