GCF of 4615/489, 5674/8613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4615/489, 5674/8613 i.e 1/1403919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4615/489, 5674/8613.
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 4615/489,5674/8613?
Given fractions are 4615/489,5674/8613
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 4615/489,5674/8613, numerators are 4615,5674
Denominators are 489,8613
The GCF of 4615,5674 is 1 .
LCM of 489,8613 is 1403919.
The greatest common factor of 4615/489,5674/8613 = [GCF of 4615,5674]/[LCM of 489,8613]= 1/1403919
Therefore, the GCF of 4615/489,5674/8613 is 1/1403919.
To find the highest common factor of 4615,5674, we have to find the factors of both numbers and list the highest common factor.
The factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615
The factors of 5674 are 1, 2, 2837, 5674
The HCF of 4615,5674 is 1.
Lets's calculate GCF of 4615,5674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4615,5674 By Matching Biggest Common Factor Method
Now, list down the factors of 4615
:1,5,13,65,71,355,923,4615
Now, list down the factors of 5674
:1,2,2837,5674
Greatest Common Factor
We found the factors 4615,5674 . The biggest common factor number is the GCF number.
So the greatest common factor 4615,5674 is 1.
Lets's calculate LCM of 489,8613
| 3 | 489, 8613 |
| 163, 2871 |
∴ So the LCM of the given numbers is 3 x 163 x 2871 = 1403919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1403919
Therefore, the GCF of Fractions 4615/489,5674/8613 is 1/1403919
Least Common Multiple of 489,8613 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 489,8613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,8613) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,8613) x common factors =3 x 1 = 3
LCM(489,8613) = ( 489 × 8613 ) / 3
LCM(489,8613) = 4211757 / 3
LCM(489,8613) = 1403919
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FAQs on GCF of Fractions of 4615/489, 5674/8613
1. What is the HCF of 4615,5674?
The HCF of 4615,5674 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 4615/489, 5674/8613?
Answer: GCF of Numerators as per given numbers 4615/489, 5674/8613 is
GCF of Numerators i.e. for 4615,5674 is 1
LCM of denominators i.e. for 489,8613 is 1403919.
Thus, GCF of Fractions is 1/1403919.Finally, GCF of Fractions for 4615/489, 5674/8613 is 1/1403919.