GCF of 5409/847, 8838/4804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5409/847, 8838/4804 i.e 9/4068988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5409/847, 8838/4804.
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 5409/847,8838/4804?
Given fractions are 5409/847,8838/4804
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 5409/847,8838/4804, numerators are 5409,8838
Denominators are 847,4804
The GCF of 5409,8838 is 9 .
LCM of 847,4804 is 4068988.
The greatest common factor of 5409/847,8838/4804 = [GCF of 5409,8838]/[LCM of 847,4804]= 9/4068988
Therefore, the GCF of 5409/847,8838/4804 is 9/4068988.
To find the highest common factor of 5409,8838, we have to find the factors of both numbers and list the highest common factor.
The factors of 5409 are 1, 3, 9, 601, 1803, 5409
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The HCF of 5409,8838 is 9.
Lets's calculate GCF of 5409,8838
| 3 | 5409, 8838 |
| 3 | 1803, 2946 |
| 601, 982 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5409,8838 By Matching Biggest Common Factor Method
Now, list down the factors of 5409
:1,3,9,601,1803,5409
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors 5409,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 5409,8838 is 9.
Lets's calculate LCM of 847,4804
Given numbers has no common factors except 1. So, there LCM is their product i.e 4068988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4068988
Therefore, the GCF of Fractions 5409/847,8838/4804 is 9/4068988
Least Common Multiple of 847,4804 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 847,4804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,4804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,4804) x common factors =1 x 1 = 1
LCM(847,4804) = ( 847 × 4804 ) / 1
LCM(847,4804) = 4068988 / 1
LCM(847,4804) = 4068988
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5409/847, 8838/4804
1. What is the HCF of 5409,8838?
The HCF of 5409,8838 is 9
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 5409/847, 8838/4804?
Answer: GCF of Numerators as per given numbers 5409/847, 8838/4804 is
GCF of Numerators i.e. for 5409,8838 is 9
LCM of denominators i.e. for 847,4804 is 4068988.
Thus, GCF of Fractions is 9/4068988.Finally, GCF of Fractions for 5409/847, 8838/4804 is 9/4068988.