GCF of 5736/273, 8011/7737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5736/273, 8011/7737 i.e 1/704067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5736/273, 8011/7737.
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 5736/273,8011/7737?
Given fractions are 5736/273,8011/7737
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 5736/273,8011/7737, numerators are 5736,8011
Denominators are 273,7737
The GCF of 5736,8011 is 1 .
LCM of 273,7737 is 704067.
The greatest common factor of 5736/273,8011/7737 = [GCF of 5736,8011]/[LCM of 273,7737]= 1/704067
Therefore, the GCF of 5736/273,8011/7737 is 1/704067.
To find the highest common factor of 5736,8011, we have to find the factors of both numbers and list the highest common factor.
The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736
The factors of 8011 are 1, 8011
The HCF of 5736,8011 is 1.
Lets's calculate GCF of 5736,8011
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5736,8011 By Matching Biggest Common Factor Method
Now, list down the factors of 5736
:1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Now, list down the factors of 8011
:1,8011
Greatest Common Factor
We found the factors 5736,8011 . The biggest common factor number is the GCF number.
So the greatest common factor 5736,8011 is 1.
Lets's calculate LCM of 273,7737
| 3 | 273, 7737 |
| 91, 2579 |
∴ So the LCM of the given numbers is 3 x 91 x 2579 = 704067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704067
Therefore, the GCF of Fractions 5736/273,8011/7737 is 1/704067
Least Common Multiple of 273,7737 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 273,7737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,7737) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,7737) x common factors =3 x 1 = 3
LCM(273,7737) = ( 273 × 7737 ) / 3
LCM(273,7737) = 2112201 / 3
LCM(273,7737) = 704067
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FAQs on GCF of Fractions of 5736/273, 8011/7737
1. What is the HCF of 5736,8011?
The HCF of 5736,8011 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 5736/273, 8011/7737?
Answer: GCF of Numerators as per given numbers 5736/273, 8011/7737 is
GCF of Numerators i.e. for 5736,8011 is 1
LCM of denominators i.e. for 273,7737 is 704067.
Thus, GCF of Fractions is 1/704067.Finally, GCF of Fractions for 5736/273, 8011/7737 is 1/704067.