GCF of 1829/595, 5082/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1829/595, 5082/458 i.e 1/272510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1829/595, 5082/458.
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 1829/595,5082/458?
Given fractions are 1829/595,5082/458
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 1829/595,5082/458, numerators are 1829,5082
Denominators are 595,458
The GCF of 1829,5082 is 1 .
LCM of 595,458 is 272510.
The greatest common factor of 1829/595,5082/458 = [GCF of 1829,5082]/[LCM of 595,458]= 1/272510
Therefore, the GCF of 1829/595,5082/458 is 1/272510.
To find the highest common factor of 1829,5082, we have to find the factors of both numbers and list the highest common factor.
The factors of 1829 are 1, 31, 59, 1829
The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The HCF of 1829,5082 is 1.
Lets's calculate GCF of 1829,5082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1829,5082 By Matching Biggest Common Factor Method
Now, list down the factors of 1829
:1,31,59,1829
Now, list down the factors of 5082
:1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Greatest Common Factor
We found the factors 1829,5082 . The biggest common factor number is the GCF number.
So the greatest common factor 1829,5082 is 1.
Lets's calculate LCM of 595,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 272510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272510
Therefore, the GCF of Fractions 1829/595,5082/458 is 1/272510
Least Common Multiple of 595,458 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 595,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,458) x common factors =1 x 1 = 1
LCM(595,458) = ( 595 × 458 ) / 1
LCM(595,458) = 272510 / 1
LCM(595,458) = 272510
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1829/595, 5082/458
1. What is the HCF of 1829,5082?
The HCF of 1829,5082 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 1829/595, 5082/458?
Answer: GCF of Numerators as per given numbers 1829/595, 5082/458 is
GCF of Numerators i.e. for 1829,5082 is 1
LCM of denominators i.e. for 595,458 is 272510.
Thus, GCF of Fractions is 1/272510.Finally, GCF of Fractions for 1829/595, 5082/458 is 1/272510.