GCF of 4382/720, 9723/8508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4382/720, 9723/8508 i.e 7/510480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4382/720, 9723/8508.
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 4382/720,9723/8508?
Given fractions are 4382/720,9723/8508
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 4382/720,9723/8508, numerators are 4382,9723
Denominators are 720,8508
The GCF of 4382,9723 is 7 .
LCM of 720,8508 is 510480.
The greatest common factor of 4382/720,9723/8508 = [GCF of 4382,9723]/[LCM of 720,8508]= 7/510480
Therefore, the GCF of 4382/720,9723/8508 is 7/510480.
To find the highest common factor of 4382,9723, we have to find the factors of both numbers and list the highest common factor.
The factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723
The HCF of 4382,9723 is 7.
Lets's calculate GCF of 4382,9723
| 7 | 4382, 9723 |
| 626, 1389 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4382,9723 By Matching Biggest Common Factor Method
Now, list down the factors of 4382
:1,2,7,14,313,626,2191,4382
Now, list down the factors of 9723
:1,3,7,21,463,1389,3241,9723
Greatest Common Factor
We found the factors 4382,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 4382,9723 is 7.
Lets's calculate LCM of 720,8508
| 2 | 720, 8508 |
| 2 | 360, 4254 |
| 3 | 180, 2127 |
| 60, 709 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 60 x 709 = 510480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/510480
Therefore, the GCF of Fractions 4382/720,9723/8508 is 7/510480
Least Common Multiple of 720,8508 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 720,8508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,8508) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(720,8508) x common factors =12 x 1 = 12
LCM(720,8508) = ( 720 × 8508 ) / 12
LCM(720,8508) = 6125760 / 12
LCM(720,8508) = 510480
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FAQs on GCF of Fractions of 4382/720, 9723/8508
1. What is the HCF of 4382,9723?
The HCF of 4382,9723 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 4382/720, 9723/8508?
Answer: GCF of Numerators as per given numbers 4382/720, 9723/8508 is
GCF of Numerators i.e. for 4382,9723 is 7
LCM of denominators i.e. for 720,8508 is 510480.
Thus, GCF of Fractions is 7/510480.Finally, GCF of Fractions for 4382/720, 9723/8508 is 7/510480.