GCF of 18/42, 264/34, 538/225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/42, 264/34, 538/225 i.e 2/53550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/42, 264/34, 538/225.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 18/42,264/34,538/225?
Given fractions are 18/42,264/34,538/225
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 18/42,264/34,538/225, numerators are 18,264,538
Denominators are 42,34,225
The GCF of 18,264,538 is 2 .
LCM of 42,34,225 is 53550.
The greatest common factor of 18/42,264/34,538/225 = [GCF of 18,264,538]/[LCM of 42,34,225]= 2/53550
Therefore, the GCF of 18/42,264/34,538/225 is 2/53550.
To find the highest common factor of 18,264,538, 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 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The factors of 538 are 1, 2, 269, 538
The HCF of 18,264,538 is 2.
Lets's calculate GCF of 18,264,538
| 2 | 18, 264, 538 |
| 9, 132, 269 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 18,264,538 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 18,264,538 . The biggest common factor number is the GCF number.
So the greatest common factor 18,264,538 is 2.
Lets's calculate LCM of 42,34,225
| 2 | 42, 34, 225 |
| 3 | 21, 17, 225 |
| 7, 17, 75 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 75 = 53550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53550
Therefore, the GCF of Fractions 18/42,264/34,538/225 is 2/53550
Least Common Multiple of 42,34,225 with GCF Formula
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 42,34,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,34,225) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,34,225) x common factors =1 x 6 = 6
LCM(42,34,225) = ( 42 × 34 × 225 ) / 6
LCM(42,34,225) = 321300 / 6
LCM(42,34,225) = 53550
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FAQs on GCF of Fractions of 18/42, 264/34, 538/225
1. What is the HCF of 18,264,538?
The HCF of 18,264,538 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 18/42, 264/34, 538/225?
Answer: GCF of Numerators as per given numbers 18/42, 264/34, 538/225 is
GCF of Numerators i.e. for 18,264,538 is 2
LCM of denominators i.e. for 42,34,225 is 53550.
Thus, GCF of Fractions is 2/53550.Finally, GCF of Fractions for 18/42, 264/34, 538/225 is 2/53550.