Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/206,90/1739
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 36,90
Greatest Common Factor of Numerators i.e. GCF of 36,90 is 18 .
LCM of Denominators means LCM of 206,1739 as per the given fractions.
LCM of 206,1739 is 358234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,90
2 | 36, 90 |
3 | 18, 45 |
3 | 6, 15 |
2, 5 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 36,90 . The biggest common factor number is the GCF number.
So the greatest common factor 36,90 is 18.
Lets's calculate LCM of 206,1739
Given numbers has no common factors except 1. So, there LCM is their product i.e 358234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/358234
Therefore, the GCF of Fractions 36/206,90/1739 is 18/358234
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 206,1739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,1739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,1739) x common factors =1 x 1 = 1
LCM(206,1739) = ( 206 × 1739 ) / 1
LCM(206,1739) = 358234 / 1
LCM(206,1739) = 358234
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 36/206, 90/1739?
Answer: GCF of Numerators as per given numbers 36/206, 90/1739 is
GCF of Numerators i.e. for 36,90 is 18
LCM of denominators i.e. for 206,1739 is 358234.
Thus, GCF of Fractions is 18/358234.Finally, GCF of Fractions for 36/206, 90/1739 is 18/358234.