GCF of 3666/933, 2820/1629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3666/933, 2820/1629 i.e 282/506619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3666/933, 2820/1629.
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 3666/933,2820/1629?
Given fractions are 3666/933,2820/1629
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 3666/933,2820/1629, numerators are 3666,2820
Denominators are 933,1629
The GCF of 3666,2820 is 282 .
LCM of 933,1629 is 506619.
The greatest common factor of 3666/933,2820/1629 = [GCF of 3666,2820]/[LCM of 933,1629]= 282/506619
Therefore, the GCF of 3666/933,2820/1629 is 282/506619.
To find the highest common factor of 3666,2820, we have to find the factors of both numbers and list the highest common factor.
The factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The HCF of 3666,2820 is 282.
Lets's calculate GCF of 3666,2820
| 2 | 3666, 2820 |
| 3 | 1833, 1410 |
| 47 | 611, 470 |
| 13, 10 |
∴ So the GCF of the given numbers is 2 x 3 x 47 = 282
Greatest Common Factor of 3666,2820 By Matching Biggest Common Factor Method
Now, list down the factors of 3666
:1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 3666,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 3666,2820 is 282.
Lets's calculate LCM of 933,1629
| 3 | 933, 1629 |
| 311, 543 |
∴ So the LCM of the given numbers is 3 x 311 x 543 = 506619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 282/506619
Therefore, the GCF of Fractions 3666/933,2820/1629 is 282/506619
Least Common Multiple of 933,1629 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 933,1629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,1629) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,1629) x common factors =3 x 1 = 3
LCM(933,1629) = ( 933 × 1629 ) / 3
LCM(933,1629) = 1519857 / 3
LCM(933,1629) = 506619
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3666/933, 2820/1629
1. What is the HCF of 3666,2820?
The HCF of 3666,2820 is 282
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 3666/933, 2820/1629?
Answer: GCF of Numerators as per given numbers 3666/933, 2820/1629 is
GCF of Numerators i.e. for 3666,2820 is 282
LCM of denominators i.e. for 933,1629 is 506619.
Thus, GCF of Fractions is 282/506619.Finally, GCF of Fractions for 3666/933, 2820/1629 is 282/506619.