GCF of 5829/828, 3205/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5829/828, 3205/344 i.e 1/71208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5829/828, 3205/344.
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 5829/828,3205/344?
Given fractions are 5829/828,3205/344
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 5829/828,3205/344, numerators are 5829,3205
Denominators are 828,344
The GCF of 5829,3205 is 1 .
LCM of 828,344 is 71208.
The greatest common factor of 5829/828,3205/344 = [GCF of 5829,3205]/[LCM of 828,344]= 1/71208
Therefore, the GCF of 5829/828,3205/344 is 1/71208.
To find the highest common factor of 5829,3205, we have to find the factors of both numbers and list the highest common factor.
The factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829
The factors of 3205 are 1, 5, 641, 3205
The HCF of 5829,3205 is 1.
Lets's calculate GCF of 5829,3205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5829,3205 By Matching Biggest Common Factor Method
Now, list down the factors of 5829
:1,3,29,67,87,201,1943,5829
Now, list down the factors of 3205
:1,5,641,3205
Greatest Common Factor
We found the factors 5829,3205 . The biggest common factor number is the GCF number.
So the greatest common factor 5829,3205 is 1.
Lets's calculate LCM of 828,344
| 2 | 828, 344 |
| 2 | 414, 172 |
| 207, 86 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 86 = 71208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71208
Therefore, the GCF of Fractions 5829/828,3205/344 is 1/71208
Least Common Multiple of 828,344 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 828,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,344) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,344) x common factors =4 x 1 = 4
LCM(828,344) = ( 828 × 344 ) / 4
LCM(828,344) = 284832 / 4
LCM(828,344) = 71208
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FAQs on GCF of Fractions of 5829/828, 3205/344
1. What is the HCF of 5829,3205?
The HCF of 5829,3205 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 5829/828, 3205/344?
Answer: GCF of Numerators as per given numbers 5829/828, 3205/344 is
GCF of Numerators i.e. for 5829,3205 is 1
LCM of denominators i.e. for 828,344 is 71208.
Thus, GCF of Fractions is 1/71208.Finally, GCF of Fractions for 5829/828, 3205/344 is 1/71208.