GCF of 5790/398, 6049/6544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5790/398, 6049/6544 i.e 1/1302256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5790/398, 6049/6544.
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 5790/398,6049/6544?
Given fractions are 5790/398,6049/6544
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 5790/398,6049/6544, numerators are 5790,6049
Denominators are 398,6544
The GCF of 5790,6049 is 1 .
LCM of 398,6544 is 1302256.
The greatest common factor of 5790/398,6049/6544 = [GCF of 5790,6049]/[LCM of 398,6544]= 1/1302256
Therefore, the GCF of 5790/398,6049/6544 is 1/1302256.
To find the highest common factor of 5790,6049, we have to find the factors of both numbers and list the highest common factor.
The factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790
The factors of 6049 are 1, 23, 263, 6049
The HCF of 5790,6049 is 1.
Lets's calculate GCF of 5790,6049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5790,6049 By Matching Biggest Common Factor Method
Now, list down the factors of 5790
:1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790
Now, list down the factors of 6049
:1,23,263,6049
Greatest Common Factor
We found the factors 5790,6049 . The biggest common factor number is the GCF number.
So the greatest common factor 5790,6049 is 1.
Lets's calculate LCM of 398,6544
| 2 | 398, 6544 |
| 199, 3272 |
∴ So the LCM of the given numbers is 2 x 199 x 3272 = 1302256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1302256
Therefore, the GCF of Fractions 5790/398,6049/6544 is 1/1302256
Least Common Multiple of 398,6544 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 398,6544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,6544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,6544) x common factors =2 x 1 = 2
LCM(398,6544) = ( 398 × 6544 ) / 2
LCM(398,6544) = 2604512 / 2
LCM(398,6544) = 1302256
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FAQs on GCF of Fractions of 5790/398, 6049/6544
1. What is the HCF of 5790,6049?
The HCF of 5790,6049 is 1
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 5790/398, 6049/6544?
Answer: GCF of Numerators as per given numbers 5790/398, 6049/6544 is
GCF of Numerators i.e. for 5790,6049 is 1
LCM of denominators i.e. for 398,6544 is 1302256.
Thus, GCF of Fractions is 1/1302256.Finally, GCF of Fractions for 5790/398, 6049/6544 is 1/1302256.