GCF of 4809/185, 8643/8674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4809/185, 8643/8674 i.e 3/1604690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4809/185, 8643/8674.
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 4809/185,8643/8674?
Given fractions are 4809/185,8643/8674
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 4809/185,8643/8674, numerators are 4809,8643
Denominators are 185,8674
The GCF of 4809,8643 is 3 .
LCM of 185,8674 is 1604690.
The greatest common factor of 4809/185,8643/8674 = [GCF of 4809,8643]/[LCM of 185,8674]= 3/1604690
Therefore, the GCF of 4809/185,8643/8674 is 3/1604690.
To find the highest common factor of 4809,8643, we have to find the factors of both numbers and list the highest common factor.
The factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809
The factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643
The HCF of 4809,8643 is 3.
Lets's calculate GCF of 4809,8643
| 3 | 4809, 8643 |
| 1603, 2881 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4809,8643 By Matching Biggest Common Factor Method
Now, list down the factors of 4809
:1,3,7,21,229,687,1603,4809
Now, list down the factors of 8643
:1,3,43,67,129,201,2881,8643
Greatest Common Factor
We found the factors 4809,8643 . The biggest common factor number is the GCF number.
So the greatest common factor 4809,8643 is 3.
Lets's calculate LCM of 185,8674
Given numbers has no common factors except 1. So, there LCM is their product i.e 1604690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1604690
Therefore, the GCF of Fractions 4809/185,8643/8674 is 3/1604690
Least Common Multiple of 185,8674 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 185,8674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,8674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,8674) x common factors =1 x 1 = 1
LCM(185,8674) = ( 185 × 8674 ) / 1
LCM(185,8674) = 1604690 / 1
LCM(185,8674) = 1604690
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FAQs on GCF of Fractions of 4809/185, 8643/8674
1. What is the HCF of 4809,8643?
The HCF of 4809,8643 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 4809/185, 8643/8674?
Answer: GCF of Numerators as per given numbers 4809/185, 8643/8674 is
GCF of Numerators i.e. for 4809,8643 is 3
LCM of denominators i.e. for 185,8674 is 1604690.
Thus, GCF of Fractions is 3/1604690.Finally, GCF of Fractions for 4809/185, 8643/8674 is 3/1604690.