GCF of 243/726, 1782/4424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 243/726, 1782/4424 i.e 81/1605912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 243/726, 1782/4424.
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 243/726,1782/4424?
Given fractions are 243/726,1782/4424
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 243/726,1782/4424, numerators are 243,1782
Denominators are 726,4424
The GCF of 243,1782 is 81 .
LCM of 726,4424 is 1605912.
The greatest common factor of 243/726,1782/4424 = [GCF of 243,1782]/[LCM of 726,4424]= 81/1605912
Therefore, the GCF of 243/726,1782/4424 is 81/1605912.
To find the highest common factor of 243,1782, we have to find the factors of both numbers and list the highest common factor.
The factors of 243 are 1, 3, 9, 27, 81, 243
The factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782
The HCF of 243,1782 is 81.
Lets's calculate GCF of 243,1782
| 3 | 243, 1782 |
| 3 | 81, 594 |
| 3 | 27, 198 |
| 3 | 9, 66 |
| 3, 22 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 243,1782 By Matching Biggest Common Factor Method
Now, list down the factors of 243
:1,3,9,27,81,243
Now, list down the factors of 1782
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782
Greatest Common Factor
We found the factors 243,1782 . The biggest common factor number is the GCF number.
So the greatest common factor 243,1782 is 81.
Lets's calculate LCM of 726,4424
| 2 | 726, 4424 |
| 363, 2212 |
∴ So the LCM of the given numbers is 2 x 363 x 2212 = 1605912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/1605912
Therefore, the GCF of Fractions 243/726,1782/4424 is 81/1605912
Least Common Multiple of 726,4424 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 726,4424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,4424) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,4424) x common factors =2 x 1 = 2
LCM(726,4424) = ( 726 × 4424 ) / 2
LCM(726,4424) = 3211824 / 2
LCM(726,4424) = 1605912
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FAQs on GCF of Fractions of 243/726, 1782/4424
1. What is the HCF of 243,1782?
The HCF of 243,1782 is 81
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 243/726, 1782/4424?
Answer: GCF of Numerators as per given numbers 243/726, 1782/4424 is
GCF of Numerators i.e. for 243,1782 is 81
LCM of denominators i.e. for 726,4424 is 1605912.
Thus, GCF of Fractions is 81/1605912.Finally, GCF of Fractions for 243/726, 1782/4424 is 81/1605912.