GCF of 1633/472, 8538/4389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1633/472, 8538/4389 i.e 1/2071608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1633/472, 8538/4389.
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 1633/472,8538/4389?
Given fractions are 1633/472,8538/4389
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 1633/472,8538/4389, numerators are 1633,8538
Denominators are 472,4389
The GCF of 1633,8538 is 1 .
LCM of 472,4389 is 2071608.
The greatest common factor of 1633/472,8538/4389 = [GCF of 1633,8538]/[LCM of 472,4389]= 1/2071608
Therefore, the GCF of 1633/472,8538/4389 is 1/2071608.
To find the highest common factor of 1633,8538, we have to find the factors of both numbers and list the highest common factor.
The factors of 1633 are 1, 23, 71, 1633
The factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538
The HCF of 1633,8538 is 1.
Lets's calculate GCF of 1633,8538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1633,8538 By Matching Biggest Common Factor Method
Now, list down the factors of 1633
:1,23,71,1633
Now, list down the factors of 8538
:1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors 1633,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 1633,8538 is 1.
Lets's calculate LCM of 472,4389
Given numbers has no common factors except 1. So, there LCM is their product i.e 2071608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2071608
Therefore, the GCF of Fractions 1633/472,8538/4389 is 1/2071608
Least Common Multiple of 472,4389 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 472,4389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,4389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,4389) x common factors =1 x 1 = 1
LCM(472,4389) = ( 472 × 4389 ) / 1
LCM(472,4389) = 2071608 / 1
LCM(472,4389) = 2071608
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FAQs on GCF of Fractions of 1633/472, 8538/4389
1. What is the HCF of 1633,8538?
The HCF of 1633,8538 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 1633/472, 8538/4389?
Answer: GCF of Numerators as per given numbers 1633/472, 8538/4389 is
GCF of Numerators i.e. for 1633,8538 is 1
LCM of denominators i.e. for 472,4389 is 2071608.
Thus, GCF of Fractions is 1/2071608.Finally, GCF of Fractions for 1633/472, 8538/4389 is 1/2071608.