GCF of 9259/500, 2001/1527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9259/500, 2001/1527 i.e 1/763500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9259/500, 2001/1527.
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 9259/500,2001/1527?
Given fractions are 9259/500,2001/1527
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 9259/500,2001/1527, numerators are 9259,2001
Denominators are 500,1527
The GCF of 9259,2001 is 1 .
LCM of 500,1527 is 763500.
The greatest common factor of 9259/500,2001/1527 = [GCF of 9259,2001]/[LCM of 500,1527]= 1/763500
Therefore, the GCF of 9259/500,2001/1527 is 1/763500.
To find the highest common factor of 9259,2001, we have to find the factors of both numbers and list the highest common factor.
The factors of 9259 are 1, 47, 197, 9259
The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001
The HCF of 9259,2001 is 1.
Lets's calculate GCF of 9259,2001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9259,2001 By Matching Biggest Common Factor Method
Now, list down the factors of 9259
:1,47,197,9259
Now, list down the factors of 2001
:1,3,23,29,69,87,667,2001
Greatest Common Factor
We found the factors 9259,2001 . The biggest common factor number is the GCF number.
So the greatest common factor 9259,2001 is 1.
Lets's calculate LCM of 500,1527
Given numbers has no common factors except 1. So, there LCM is their product i.e 763500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/763500
Therefore, the GCF of Fractions 9259/500,2001/1527 is 1/763500
Least Common Multiple of 500,1527 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 500,1527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,1527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,1527) x common factors =1 x 1 = 1
LCM(500,1527) = ( 500 × 1527 ) / 1
LCM(500,1527) = 763500 / 1
LCM(500,1527) = 763500
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FAQs on GCF of Fractions of 9259/500, 2001/1527
1. What is the HCF of 9259,2001?
The HCF of 9259,2001 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 9259/500, 2001/1527?
Answer: GCF of Numerators as per given numbers 9259/500, 2001/1527 is
GCF of Numerators i.e. for 9259,2001 is 1
LCM of denominators i.e. for 500,1527 is 763500.
Thus, GCF of Fractions is 1/763500.Finally, GCF of Fractions for 9259/500, 2001/1527 is 1/763500.