Use our free GCF of Fractions Calculator tool to compute the GCF of 18/66, 126/85, 518/403 i.e 2/2260830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/66, 126/85, 518/403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/66,126/85,518/403
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 18/66,126/85,518/403, numerators are 18,126,518
Denominators are 66,85,403
The GCF of 18,126,518 is 2 .
LCM of 66,85,403 is 2260830.
The greatest common factor of 18/66,126/85,518/403 = [GCF of 18,126,518]/[LCM of 66,85,403]= 2/2260830
Therefore, the GCF of 18/66,126/85,518/403 is 2/2260830.
To find the highest common factor of 18,126,518, 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 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 18,126,518 is 2.
Lets's calculate GCF of 18,126,518
2 | 18, 126, 518 |
9, 63, 259 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 18,126,518 . The biggest common factor number is the GCF number.
So the greatest common factor 18,126,518 is 2.
Lets's calculate LCM of 66,85,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 2260830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2260830
Therefore, the GCF of Fractions 18/66,126/85,518/403 is 2/2260830
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 66,85,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,85,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,85,403) x common factors =1 x 1 = 1
LCM(66,85,403) = ( 66 × 85 × 403 ) / 1
LCM(66,85,403) = 2260830 / 1
LCM(66,85,403) = 2260830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,126,518?
The HCF of 18,126,518 is 2
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 18/66, 126/85, 518/403?
Answer: GCF of Numerators as per given numbers 18/66, 126/85, 518/403 is
GCF of Numerators i.e. for 18,126,518 is 2
LCM of denominators i.e. for 66,85,403 is 2260830.
Thus, GCF of Fractions is 2/2260830.Finally, GCF of Fractions for 18/66, 126/85, 518/403 is 2/2260830.