GCF of 2005/598, 4880/2978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2005/598, 4880/2978 i.e 5/890422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2005/598, 4880/2978.
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 2005/598,4880/2978?
Given fractions are 2005/598,4880/2978
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 2005/598,4880/2978, numerators are 2005,4880
Denominators are 598,2978
The GCF of 2005,4880 is 5 .
LCM of 598,2978 is 890422.
The greatest common factor of 2005/598,4880/2978 = [GCF of 2005,4880]/[LCM of 598,2978]= 5/890422
Therefore, the GCF of 2005/598,4880/2978 is 5/890422.
To find the highest common factor of 2005,4880, we have to find the factors of both numbers and list the highest common factor.
The factors of 2005 are 1, 5, 401, 2005
The factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880
The HCF of 2005,4880 is 5.
Lets's calculate GCF of 2005,4880
| 5 | 2005, 4880 |
| 401, 976 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2005,4880 By Matching Biggest Common Factor Method
Now, list down the factors of 2005
:1,5,401,2005
Now, list down the factors of 4880
:1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Greatest Common Factor
We found the factors 2005,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 2005,4880 is 5.
Lets's calculate LCM of 598,2978
| 2 | 598, 2978 |
| 299, 1489 |
∴ So the LCM of the given numbers is 2 x 299 x 1489 = 890422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/890422
Therefore, the GCF of Fractions 2005/598,4880/2978 is 5/890422
Least Common Multiple of 598,2978 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 598,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,2978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,2978) x common factors =2 x 1 = 2
LCM(598,2978) = ( 598 × 2978 ) / 2
LCM(598,2978) = 1780844 / 2
LCM(598,2978) = 890422
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2005/598, 4880/2978
1. What is the HCF of 2005,4880?
The HCF of 2005,4880 is 5
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 2005/598, 4880/2978?
Answer: GCF of Numerators as per given numbers 2005/598, 4880/2978 is
GCF of Numerators i.e. for 2005,4880 is 5
LCM of denominators i.e. for 598,2978 is 890422.
Thus, GCF of Fractions is 5/890422.Finally, GCF of Fractions for 2005/598, 4880/2978 is 5/890422.