GCF of 18/29, 55/303, 438/726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/29, 55/303, 438/726 i.e 1/2126454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/29, 55/303, 438/726.
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 18/29,55/303,438/726?
Given fractions are 18/29,55/303,438/726
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 18/29,55/303,438/726, numerators are 18,55,438
Denominators are 29,303,726
The GCF of 18,55,438 is 1 .
LCM of 29,303,726 is 2126454.
The greatest common factor of 18/29,55/303,438/726 = [GCF of 18,55,438]/[LCM of 29,303,726]= 1/2126454
Therefore, the GCF of 18/29,55/303,438/726 is 1/2126454.
To find the highest common factor of 18,55,438, 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 55 are 1, 5, 11, 55
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 18,55,438 is 1.
Lets's calculate GCF of 18,55,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,55,438 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 55
:1,5,11,55
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 18,55,438 . The biggest common factor number is the GCF number.
So the greatest common factor 18,55,438 is 1.
Lets's calculate LCM of 29,303,726
| 3 | 29, 303, 726 |
| 29, 101, 242 |
∴ So the LCM of the given numbers is 3 x 29 x 101 x 242 = 2126454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2126454
Therefore, the GCF of Fractions 18/29,55/303,438/726 is 1/2126454
Least Common Multiple of 29,303,726 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 29,303,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,303,726) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(29,303,726) x common factors =1 x 3 = 3
LCM(29,303,726) = ( 29 × 303 × 726 ) / 3
LCM(29,303,726) = 6379362 / 3
LCM(29,303,726) = 2126454
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FAQs on GCF of Fractions of 18/29, 55/303, 438/726
1. What is the HCF of 18,55,438?
The HCF of 18,55,438 is 1
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 18/29, 55/303, 438/726?
Answer: GCF of Numerators as per given numbers 18/29, 55/303, 438/726 is
GCF of Numerators i.e. for 18,55,438 is 1
LCM of denominators i.e. for 29,303,726 is 2126454.
Thus, GCF of Fractions is 1/2126454.Finally, GCF of Fractions for 18/29, 55/303, 438/726 is 1/2126454.