GCF of 6841/585, 5750/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6841/585, 5750/774 i.e 1/50310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6841/585, 5750/774.
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 6841/585,5750/774?
Given fractions are 6841/585,5750/774
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 6841/585,5750/774, numerators are 6841,5750
Denominators are 585,774
The GCF of 6841,5750 is 1 .
LCM of 585,774 is 50310.
The greatest common factor of 6841/585,5750/774 = [GCF of 6841,5750]/[LCM of 585,774]= 1/50310
Therefore, the GCF of 6841/585,5750/774 is 1/50310.
To find the highest common factor of 6841,5750, we have to find the factors of both numbers and list the highest common factor.
The factors of 6841 are 1, 6841
The factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750
The HCF of 6841,5750 is 1.
Lets's calculate GCF of 6841,5750
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6841,5750 By Matching Biggest Common Factor Method
Now, list down the factors of 6841
:1,6841
Now, list down the factors of 5750
:1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Greatest Common Factor
We found the factors 6841,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 6841,5750 is 1.
Lets's calculate LCM of 585,774
| 3 | 585, 774 |
| 3 | 195, 258 |
| 65, 86 |
∴ So the LCM of the given numbers is 3 x 3 x 65 x 86 = 50310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50310
Therefore, the GCF of Fractions 6841/585,5750/774 is 1/50310
Least Common Multiple of 585,774 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 585,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,774) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(585,774) x common factors =9 x 1 = 9
LCM(585,774) = ( 585 × 774 ) / 9
LCM(585,774) = 452790 / 9
LCM(585,774) = 50310
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FAQs on GCF of Fractions of 6841/585, 5750/774
1. What is the HCF of 6841,5750?
The HCF of 6841,5750 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 6841/585, 5750/774?
Answer: GCF of Numerators as per given numbers 6841/585, 5750/774 is
GCF of Numerators i.e. for 6841,5750 is 1
LCM of denominators i.e. for 585,774 is 50310.
Thus, GCF of Fractions is 1/50310.Finally, GCF of Fractions for 6841/585, 5750/774 is 1/50310.