GCF of 43/36, 81/477, 839/535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/36, 81/477, 839/535 i.e 1/1020780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/36, 81/477, 839/535.
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 43/36,81/477,839/535?
Given fractions are 43/36,81/477,839/535
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 43/36,81/477,839/535, numerators are 43,81,839
Denominators are 36,477,535
The GCF of 43,81,839 is 1 .
LCM of 36,477,535 is 1020780.
The greatest common factor of 43/36,81/477,839/535 = [GCF of 43,81,839]/[LCM of 36,477,535]= 1/1020780
Therefore, the GCF of 43/36,81/477,839/535 is 1/1020780.
To find the highest common factor of 43,81,839, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 81 are 1, 3, 9, 27, 81
The factors of 839 are 1, 839
The HCF of 43,81,839 is 1.
Lets's calculate GCF of 43,81,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,81,839 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 839
:1,839
Greatest Common Factor
We found the factors 43,81,839 . The biggest common factor number is the GCF number.
So the greatest common factor 43,81,839 is 1.
Lets's calculate LCM of 36,477,535
| 3 | 36, 477, 535 |
| 3 | 12, 159, 535 |
| 4, 53, 535 |
∴ So the LCM of the given numbers is 3 x 3 x 4 x 53 x 535 = 1020780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1020780
Therefore, the GCF of Fractions 43/36,81/477,839/535 is 1/1020780
Least Common Multiple of 36,477,535 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 36,477,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,477,535) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(36,477,535) x common factors =1 x 9 = 9
LCM(36,477,535) = ( 36 × 477 × 535 ) / 9
LCM(36,477,535) = 9187020 / 9
LCM(36,477,535) = 1020780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 43/36, 81/477, 839/535
1. What is the HCF of 43,81,839?
The HCF of 43,81,839 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 43/36, 81/477, 839/535?
Answer: GCF of Numerators as per given numbers 43/36, 81/477, 839/535 is
GCF of Numerators i.e. for 43,81,839 is 1
LCM of denominators i.e. for 36,477,535 is 1020780.
Thus, GCF of Fractions is 1/1020780.Finally, GCF of Fractions for 43/36, 81/477, 839/535 is 1/1020780.