GCF of 8033/512, 5214/5001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8033/512, 5214/5001 i.e 1/2560512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8033/512, 5214/5001.
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 8033/512,5214/5001?
Given fractions are 8033/512,5214/5001
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 8033/512,5214/5001, numerators are 8033,5214
Denominators are 512,5001
The GCF of 8033,5214 is 1 .
LCM of 512,5001 is 2560512.
The greatest common factor of 8033/512,5214/5001 = [GCF of 8033,5214]/[LCM of 512,5001]= 1/2560512
Therefore, the GCF of 8033/512,5214/5001 is 1/2560512.
To find the highest common factor of 8033,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 8033 are 1, 29, 277, 8033
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 8033,5214 is 1.
Lets's calculate GCF of 8033,5214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8033,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 8033
:1,29,277,8033
Now, list down the factors of 5214
:1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 8033,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 8033,5214 is 1.
Lets's calculate LCM of 512,5001
Given numbers has no common factors except 1. So, there LCM is their product i.e 2560512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2560512
Therefore, the GCF of Fractions 8033/512,5214/5001 is 1/2560512
Least Common Multiple of 512,5001 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 512,5001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,5001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,5001) x common factors =1 x 1 = 1
LCM(512,5001) = ( 512 × 5001 ) / 1
LCM(512,5001) = 2560512 / 1
LCM(512,5001) = 2560512
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FAQs on GCF of Fractions of 8033/512, 5214/5001
1. What is the HCF of 8033,5214?
The HCF of 8033,5214 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 8033/512, 5214/5001?
Answer: GCF of Numerators as per given numbers 8033/512, 5214/5001 is
GCF of Numerators i.e. for 8033,5214 is 1
LCM of denominators i.e. for 512,5001 is 2560512.
Thus, GCF of Fractions is 1/2560512.Finally, GCF of Fractions for 8033/512, 5214/5001 is 1/2560512.