GCF of 7839/992, 4500/1816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7839/992, 4500/1816 i.e 9/225184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7839/992, 4500/1816.
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 7839/992,4500/1816?
Given fractions are 7839/992,4500/1816
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 7839/992,4500/1816, numerators are 7839,4500
Denominators are 992,1816
The GCF of 7839,4500 is 9 .
LCM of 992,1816 is 225184.
The greatest common factor of 7839/992,4500/1816 = [GCF of 7839,4500]/[LCM of 992,1816]= 9/225184
Therefore, the GCF of 7839/992,4500/1816 is 9/225184.
To find the highest common factor of 7839,4500, we have to find the factors of both numbers and list the highest common factor.
The factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839
The factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500
The HCF of 7839,4500 is 9.
Lets's calculate GCF of 7839,4500
| 3 | 7839, 4500 |
| 3 | 2613, 1500 |
| 871, 500 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7839,4500 By Matching Biggest Common Factor Method
Now, list down the factors of 7839
:1,3,9,13,39,67,117,201,603,871,2613,7839
Now, list down the factors of 4500
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500
Greatest Common Factor
We found the factors 7839,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 7839,4500 is 9.
Lets's calculate LCM of 992,1816
| 2 | 992, 1816 |
| 2 | 496, 908 |
| 2 | 248, 454 |
| 124, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 227 = 225184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/225184
Therefore, the GCF of Fractions 7839/992,4500/1816 is 9/225184
Least Common Multiple of 992,1816 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 992,1816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,1816) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(992,1816) x common factors =8 x 1 = 8
LCM(992,1816) = ( 992 × 1816 ) / 8
LCM(992,1816) = 1801472 / 8
LCM(992,1816) = 225184
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FAQs on GCF of Fractions of 7839/992, 4500/1816
1. What is the HCF of 7839,4500?
The HCF of 7839,4500 is 9
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 7839/992, 4500/1816?
Answer: GCF of Numerators as per given numbers 7839/992, 4500/1816 is
GCF of Numerators i.e. for 7839,4500 is 9
LCM of denominators i.e. for 992,1816 is 225184.
Thus, GCF of Fractions is 9/225184.Finally, GCF of Fractions for 7839/992, 4500/1816 is 9/225184.