GCF of 8439/585, 1413/6918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8439/585, 1413/6918 i.e 3/1349010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8439/585, 1413/6918.
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 8439/585,1413/6918?
Given fractions are 8439/585,1413/6918
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 8439/585,1413/6918, numerators are 8439,1413
Denominators are 585,6918
The GCF of 8439,1413 is 3 .
LCM of 585,6918 is 1349010.
The greatest common factor of 8439/585,1413/6918 = [GCF of 8439,1413]/[LCM of 585,6918]= 3/1349010
Therefore, the GCF of 8439/585,1413/6918 is 3/1349010.
To find the highest common factor of 8439,1413, we have to find the factors of both numbers and list the highest common factor.
The factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439
The factors of 1413 are 1, 3, 9, 157, 471, 1413
The HCF of 8439,1413 is 3.
Lets's calculate GCF of 8439,1413
| 3 | 8439, 1413 |
| 2813, 471 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8439,1413 By Matching Biggest Common Factor Method
Now, list down the factors of 8439
:1,3,29,87,97,291,2813,8439
Now, list down the factors of 1413
:1,3,9,157,471,1413
Greatest Common Factor
We found the factors 8439,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 8439,1413 is 3.
Lets's calculate LCM of 585,6918
| 3 | 585, 6918 |
| 195, 2306 |
∴ So the LCM of the given numbers is 3 x 195 x 2306 = 1349010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1349010
Therefore, the GCF of Fractions 8439/585,1413/6918 is 3/1349010
Least Common Multiple of 585,6918 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 585,6918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,6918) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,6918) x common factors =3 x 1 = 3
LCM(585,6918) = ( 585 × 6918 ) / 3
LCM(585,6918) = 4047030 / 3
LCM(585,6918) = 1349010
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FAQs on GCF of Fractions of 8439/585, 1413/6918
1. What is the HCF of 8439,1413?
The HCF of 8439,1413 is 3
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 8439/585, 1413/6918?
Answer: GCF of Numerators as per given numbers 8439/585, 1413/6918 is
GCF of Numerators i.e. for 8439,1413 is 3
LCM of denominators i.e. for 585,6918 is 1349010.
Thus, GCF of Fractions is 3/1349010.Finally, GCF of Fractions for 8439/585, 1413/6918 is 3/1349010.