GCF of 5840/819, 8372/2820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5840/819, 8372/2820 i.e 4/769860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5840/819, 8372/2820.
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 5840/819,8372/2820?
Given fractions are 5840/819,8372/2820
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 5840/819,8372/2820, numerators are 5840,8372
Denominators are 819,2820
The GCF of 5840,8372 is 4 .
LCM of 819,2820 is 769860.
The greatest common factor of 5840/819,8372/2820 = [GCF of 5840,8372]/[LCM of 819,2820]= 4/769860
Therefore, the GCF of 5840/819,8372/2820 is 4/769860.
To find the highest common factor of 5840,8372, we have to find the factors of both numbers and list the highest common factor.
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372
The HCF of 5840,8372 is 4.
Lets's calculate GCF of 5840,8372
| 2 | 5840, 8372 |
| 2 | 2920, 4186 |
| 1460, 2093 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5840,8372 By Matching Biggest Common Factor Method
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Now, list down the factors of 8372
:1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372
Greatest Common Factor
We found the factors 5840,8372 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,8372 is 4.
Lets's calculate LCM of 819,2820
| 3 | 819, 2820 |
| 273, 940 |
∴ So the LCM of the given numbers is 3 x 273 x 940 = 769860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/769860
Therefore, the GCF of Fractions 5840/819,8372/2820 is 4/769860
Least Common Multiple of 819,2820 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 819,2820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,2820) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(819,2820) x common factors =3 x 1 = 3
LCM(819,2820) = ( 819 × 2820 ) / 3
LCM(819,2820) = 2309580 / 3
LCM(819,2820) = 769860
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FAQs on GCF of Fractions of 5840/819, 8372/2820
1. What is the HCF of 5840,8372?
The HCF of 5840,8372 is 4
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 5840/819, 8372/2820?
Answer: GCF of Numerators as per given numbers 5840/819, 8372/2820 is
GCF of Numerators i.e. for 5840,8372 is 4
LCM of denominators i.e. for 819,2820 is 769860.
Thus, GCF of Fractions is 4/769860.Finally, GCF of Fractions for 5840/819, 8372/2820 is 4/769860.