Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 234/587,3367/208
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 234,3367
Greatest Common Factor of Numerators i.e. GCF of 234,3367 is 13 .
LCM of Denominators means LCM of 587,208 as per the given fractions.
LCM of 587,208 is 122096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 234,3367
13 | 234, 3367 |
18, 259 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 3367
List of positive integer factors of 3367 that divides 3367 without a remainder.
1,7,13,37,91,259,481,3367
Greatest Common Factor
We found the factors 234,3367 . The biggest common factor number is the GCF number.
So the greatest common factor 234,3367 is 13.
Lets's calculate LCM of 587,208
Given numbers has no common factors except 1. So, there LCM is their product i.e 122096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/122096
Therefore, the GCF of Fractions 234/587,3367/208 is 13/122096
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 587,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,208) x common factors =1 x 1 = 1
LCM(587,208) = ( 587 × 208 ) / 1
LCM(587,208) = 122096 / 1
LCM(587,208) = 122096
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 234/587, 3367/208?
Answer: GCF of Numerators as per given numbers 234/587, 3367/208 is
GCF of Numerators i.e. for 234,3367 is 13
LCM of denominators i.e. for 587,208 is 122096.
Thus, GCF of Fractions is 13/122096.Finally, GCF of Fractions for 234/587, 3367/208 is 13/122096.