GCF of 2387/759, 9723/1055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2387/759, 9723/1055 i.e 7/800745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2387/759, 9723/1055.
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 2387/759,9723/1055?
Given fractions are 2387/759,9723/1055
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 2387/759,9723/1055, numerators are 2387,9723
Denominators are 759,1055
The GCF of 2387,9723 is 7 .
LCM of 759,1055 is 800745.
The greatest common factor of 2387/759,9723/1055 = [GCF of 2387,9723]/[LCM of 759,1055]= 7/800745
Therefore, the GCF of 2387/759,9723/1055 is 7/800745.
To find the highest common factor of 2387,9723, we have to find the factors of both numbers and list the highest common factor.
The factors of 2387 are 1, 7, 11, 31, 77, 217, 341, 2387
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723
The HCF of 2387,9723 is 7.
Lets's calculate GCF of 2387,9723
| 7 | 2387, 9723 |
| 341, 1389 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2387,9723 By Matching Biggest Common Factor Method
Now, list down the factors of 2387
:1,7,11,31,77,217,341,2387
Now, list down the factors of 9723
:1,3,7,21,463,1389,3241,9723
Greatest Common Factor
We found the factors 2387,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 2387,9723 is 7.
Lets's calculate LCM of 759,1055
Given numbers has no common factors except 1. So, there LCM is their product i.e 800745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/800745
Therefore, the GCF of Fractions 2387/759,9723/1055 is 7/800745
Least Common Multiple of 759,1055 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 759,1055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,1055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,1055) x common factors =1 x 1 = 1
LCM(759,1055) = ( 759 × 1055 ) / 1
LCM(759,1055) = 800745 / 1
LCM(759,1055) = 800745
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FAQs on GCF of Fractions of 2387/759, 9723/1055
1. What is the HCF of 2387,9723?
The HCF of 2387,9723 is 7
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 2387/759, 9723/1055?
Answer: GCF of Numerators as per given numbers 2387/759, 9723/1055 is
GCF of Numerators i.e. for 2387,9723 is 7
LCM of denominators i.e. for 759,1055 is 800745.
Thus, GCF of Fractions is 7/800745.Finally, GCF of Fractions for 2387/759, 9723/1055 is 7/800745.