GCF of 1828/417, 5445/2432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1828/417, 5445/2432 i.e 1/1014144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1828/417, 5445/2432.
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 1828/417,5445/2432?
Given fractions are 1828/417,5445/2432
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 1828/417,5445/2432, numerators are 1828,5445
Denominators are 417,2432
The GCF of 1828,5445 is 1 .
LCM of 417,2432 is 1014144.
The greatest common factor of 1828/417,5445/2432 = [GCF of 1828,5445]/[LCM of 417,2432]= 1/1014144
Therefore, the GCF of 1828/417,5445/2432 is 1/1014144.
To find the highest common factor of 1828,5445, we have to find the factors of both numbers and list the highest common factor.
The factors of 1828 are 1, 2, 4, 457, 914, 1828
The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
The HCF of 1828,5445 is 1.
Lets's calculate GCF of 1828,5445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1828,5445 By Matching Biggest Common Factor Method
Now, list down the factors of 1828
:1,2,4,457,914,1828
Now, list down the factors of 5445
:1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Greatest Common Factor
We found the factors 1828,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 1828,5445 is 1.
Lets's calculate LCM of 417,2432
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1014144
Therefore, the GCF of Fractions 1828/417,5445/2432 is 1/1014144
Least Common Multiple of 417,2432 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 417,2432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,2432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,2432) x common factors =1 x 1 = 1
LCM(417,2432) = ( 417 × 2432 ) / 1
LCM(417,2432) = 1014144 / 1
LCM(417,2432) = 1014144
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FAQs on GCF of Fractions of 1828/417, 5445/2432
1. What is the HCF of 1828,5445?
The HCF of 1828,5445 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 1828/417, 5445/2432?
Answer: GCF of Numerators as per given numbers 1828/417, 5445/2432 is
GCF of Numerators i.e. for 1828,5445 is 1
LCM of denominators i.e. for 417,2432 is 1014144.
Thus, GCF of Fractions is 1/1014144.Finally, GCF of Fractions for 1828/417, 5445/2432 is 1/1014144.