GCF of 5483/126, 8478/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5483/126, 8478/233 i.e 1/29358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5483/126, 8478/233.
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 5483/126,8478/233?
Given fractions are 5483/126,8478/233
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 5483/126,8478/233, numerators are 5483,8478
Denominators are 126,233
The GCF of 5483,8478 is 1 .
LCM of 126,233 is 29358.
The greatest common factor of 5483/126,8478/233 = [GCF of 5483,8478]/[LCM of 126,233]= 1/29358
Therefore, the GCF of 5483/126,8478/233 is 1/29358.
To find the highest common factor of 5483,8478, we have to find the factors of both numbers and list the highest common factor.
The factors of 5483 are 1, 5483
The factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
The HCF of 5483,8478 is 1.
Lets's calculate GCF of 5483,8478
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5483,8478 By Matching Biggest Common Factor Method
Now, list down the factors of 5483
:1,5483
Now, list down the factors of 8478
:1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Greatest Common Factor
We found the factors 5483,8478 . The biggest common factor number is the GCF number.
So the greatest common factor 5483,8478 is 1.
Lets's calculate LCM of 126,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 29358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29358
Therefore, the GCF of Fractions 5483/126,8478/233 is 1/29358
Least Common Multiple of 126,233 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 126,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,233) x common factors =1 x 1 = 1
LCM(126,233) = ( 126 × 233 ) / 1
LCM(126,233) = 29358 / 1
LCM(126,233) = 29358
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5483/126, 8478/233
1. What is the HCF of 5483,8478?
The HCF of 5483,8478 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 5483/126, 8478/233?
Answer: GCF of Numerators as per given numbers 5483/126, 8478/233 is
GCF of Numerators i.e. for 5483,8478 is 1
LCM of denominators i.e. for 126,233 is 29358.
Thus, GCF of Fractions is 1/29358.Finally, GCF of Fractions for 5483/126, 8478/233 is 1/29358.