GCF of 28/539, 297/768, 567/832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/539, 297/768, 567/832 i.e 1/5381376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/539, 297/768, 567/832.
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 28/539,297/768,567/832?
Given fractions are 28/539,297/768,567/832
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 28/539,297/768,567/832, numerators are 28,297,567
Denominators are 539,768,832
The GCF of 28,297,567 is 1 .
LCM of 539,768,832 is 5381376.
The greatest common factor of 28/539,297/768,567/832 = [GCF of 28,297,567]/[LCM of 539,768,832]= 1/5381376
Therefore, the GCF of 28/539,297/768,567/832 is 1/5381376.
To find the highest common factor of 28,297,567, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The HCF of 28,297,567 is 1.
Lets's calculate GCF of 28,297,567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,297,567 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 28,297,567 . The biggest common factor number is the GCF number.
So the greatest common factor 28,297,567 is 1.
Lets's calculate LCM of 539,768,832
| 2 | 539, 768, 832 |
| 2 | 539, 384, 416 |
| 2 | 539, 192, 208 |
| 2 | 539, 96, 104 |
| 2 | 539, 48, 52 |
| 2 | 539, 24, 26 |
| 539, 12, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 539 x 12 x 13 = 5381376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5381376
Therefore, the GCF of Fractions 28/539,297/768,567/832 is 1/5381376
Least Common Multiple of 539,768,832 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 539,768,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,768,832) = 1
common factors(in case of two or more numbers have common factors) = 64
GCF(539,768,832) x common factors =1 x 64 = 64
LCM(539,768,832) = ( 539 × 768 × 832 ) / 64
LCM(539,768,832) = 344408064 / 64
LCM(539,768,832) = 5381376
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 28/539, 297/768, 567/832
1. What is the HCF of 28,297,567?
The HCF of 28,297,567 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 28/539, 297/768, 567/832?
Answer: GCF of Numerators as per given numbers 28/539, 297/768, 567/832 is
GCF of Numerators i.e. for 28,297,567 is 1
LCM of denominators i.e. for 539,768,832 is 5381376.
Thus, GCF of Fractions is 1/5381376.Finally, GCF of Fractions for 28/539, 297/768, 567/832 is 1/5381376.