GCF of 2284/669, 2006/5829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2284/669, 2006/5829 i.e 2/1299867 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2284/669, 2006/5829.
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 2284/669,2006/5829?
Given fractions are 2284/669,2006/5829
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 2284/669,2006/5829, numerators are 2284,2006
Denominators are 669,5829
The GCF of 2284,2006 is 2 .
LCM of 669,5829 is 1299867.
The greatest common factor of 2284/669,2006/5829 = [GCF of 2284,2006]/[LCM of 669,5829]= 2/1299867
Therefore, the GCF of 2284/669,2006/5829 is 2/1299867.
To find the highest common factor of 2284,2006, we have to find the factors of both numbers and list the highest common factor.
The factors of 2284 are 1, 2, 4, 571, 1142, 2284
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006
The HCF of 2284,2006 is 2.
Lets's calculate GCF of 2284,2006
| 2 | 2284, 2006 |
| 1142, 1003 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2284,2006 By Matching Biggest Common Factor Method
Now, list down the factors of 2284
:1,2,4,571,1142,2284
Now, list down the factors of 2006
:1,2,17,34,59,118,1003,2006
Greatest Common Factor
We found the factors 2284,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 2284,2006 is 2.
Lets's calculate LCM of 669,5829
| 3 | 669, 5829 |
| 223, 1943 |
∴ So the LCM of the given numbers is 3 x 223 x 1943 = 1299867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1299867
Therefore, the GCF of Fractions 2284/669,2006/5829 is 2/1299867
Least Common Multiple of 669,5829 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 669,5829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,5829) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,5829) x common factors =3 x 1 = 3
LCM(669,5829) = ( 669 × 5829 ) / 3
LCM(669,5829) = 3899601 / 3
LCM(669,5829) = 1299867
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FAQs on GCF of Fractions of 2284/669, 2006/5829
1. What is the HCF of 2284,2006?
The HCF of 2284,2006 is 2
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 2284/669, 2006/5829?
Answer: GCF of Numerators as per given numbers 2284/669, 2006/5829 is
GCF of Numerators i.e. for 2284,2006 is 2
LCM of denominators i.e. for 669,5829 is 1299867.
Thus, GCF of Fractions is 2/1299867.Finally, GCF of Fractions for 2284/669, 2006/5829 is 2/1299867.