Use our free GCF of Fractions Calculator tool to compute the GCF of 18/207, 90/6416 i.e 18/1328112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/207, 90/6416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/207,90/6416
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 18/207,90/6416, numerators are 18,90
Denominators are 207,6416
The GCF of 18,90 is 18 .
LCM of 207,6416 is 1328112.
The greatest common factor of 18/207,90/6416 = [GCF of 18,90]/[LCM of 207,6416]= 18/1328112
Therefore, the GCF of 18/207,90/6416 is 18/1328112.
To find the highest common factor of 18,90, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The HCF of 18,90 is 18.
Lets's calculate GCF of 18,90
2 | 18, 90 |
3 | 9, 45 |
3 | 3, 15 |
1, 5 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 18,90 . The biggest common factor number is the GCF number.
So the greatest common factor 18,90 is 18.
Lets's calculate LCM of 207,6416
Given numbers has no common factors except 1. So, there LCM is their product i.e 1328112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1328112
Therefore, the GCF of Fractions 18/207,90/6416 is 18/1328112
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 207,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,6416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,6416) x common factors =1 x 1 = 1
LCM(207,6416) = ( 207 × 6416 ) / 1
LCM(207,6416) = 1328112 / 1
LCM(207,6416) = 1328112
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,90?
The HCF of 18,90 is 18
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 18/207, 90/6416?
Answer: GCF of Numerators as per given numbers 18/207, 90/6416 is
GCF of Numerators i.e. for 18,90 is 18
LCM of denominators i.e. for 207,6416 is 1328112.
Thus, GCF of Fractions is 18/1328112.Finally, GCF of Fractions for 18/207, 90/6416 is 18/1328112.