GCF of 5794/290, 2498/6032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5794/290, 2498/6032 i.e 2/30160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5794/290, 2498/6032.
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 5794/290,2498/6032?
Given fractions are 5794/290,2498/6032
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 5794/290,2498/6032, numerators are 5794,2498
Denominators are 290,6032
The GCF of 5794,2498 is 2 .
LCM of 290,6032 is 30160.
The greatest common factor of 5794/290,2498/6032 = [GCF of 5794,2498]/[LCM of 290,6032]= 2/30160
Therefore, the GCF of 5794/290,2498/6032 is 2/30160.
To find the highest common factor of 5794,2498, we have to find the factors of both numbers and list the highest common factor.
The factors of 5794 are 1, 2, 2897, 5794
The factors of 2498 are 1, 2, 1249, 2498
The HCF of 5794,2498 is 2.
Lets's calculate GCF of 5794,2498
| 2 | 5794, 2498 |
| 2897, 1249 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5794,2498 By Matching Biggest Common Factor Method
Now, list down the factors of 5794
:1,2,2897,5794
Now, list down the factors of 2498
:1,2,1249,2498
Greatest Common Factor
We found the factors 5794,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 5794,2498 is 2.
Lets's calculate LCM of 290,6032
| 2 | 290, 6032 |
| 29 | 145, 3016 |
| 5, 104 |
∴ So the LCM of the given numbers is 2 x 29 x 5 x 104 = 30160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30160
Therefore, the GCF of Fractions 5794/290,2498/6032 is 2/30160
Least Common Multiple of 290,6032 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 290,6032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,6032) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(290,6032) x common factors =58 x 1 = 58
LCM(290,6032) = ( 290 × 6032 ) / 58
LCM(290,6032) = 1749280 / 58
LCM(290,6032) = 30160
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FAQs on GCF of Fractions of 5794/290, 2498/6032
1. What is the HCF of 5794,2498?
The HCF of 5794,2498 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 5794/290, 2498/6032?
Answer: GCF of Numerators as per given numbers 5794/290, 2498/6032 is
GCF of Numerators i.e. for 5794,2498 is 2
LCM of denominators i.e. for 290,6032 is 30160.
Thus, GCF of Fractions is 2/30160.Finally, GCF of Fractions for 5794/290, 2498/6032 is 2/30160.