GCF of 2453/197, 9032/8517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2453/197, 9032/8517 i.e 1/1677849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2453/197, 9032/8517.
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 2453/197,9032/8517?
Given fractions are 2453/197,9032/8517
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 2453/197,9032/8517, numerators are 2453,9032
Denominators are 197,8517
The GCF of 2453,9032 is 1 .
LCM of 197,8517 is 1677849.
The greatest common factor of 2453/197,9032/8517 = [GCF of 2453,9032]/[LCM of 197,8517]= 1/1677849
Therefore, the GCF of 2453/197,9032/8517 is 1/1677849.
To find the highest common factor of 2453,9032, we have to find the factors of both numbers and list the highest common factor.
The factors of 2453 are 1, 11, 223, 2453
The factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032
The HCF of 2453,9032 is 1.
Lets's calculate GCF of 2453,9032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2453,9032 By Matching Biggest Common Factor Method
Now, list down the factors of 2453
:1,11,223,2453
Now, list down the factors of 9032
:1,2,4,8,1129,2258,4516,9032
Greatest Common Factor
We found the factors 2453,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 2453,9032 is 1.
Lets's calculate LCM of 197,8517
Given numbers has no common factors except 1. So, there LCM is their product i.e 1677849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1677849
Therefore, the GCF of Fractions 2453/197,9032/8517 is 1/1677849
Least Common Multiple of 197,8517 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 197,8517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,8517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,8517) x common factors =1 x 1 = 1
LCM(197,8517) = ( 197 × 8517 ) / 1
LCM(197,8517) = 1677849 / 1
LCM(197,8517) = 1677849
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FAQs on GCF of Fractions of 2453/197, 9032/8517
1. What is the HCF of 2453,9032?
The HCF of 2453,9032 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 2453/197, 9032/8517?
Answer: GCF of Numerators as per given numbers 2453/197, 9032/8517 is
GCF of Numerators i.e. for 2453,9032 is 1
LCM of denominators i.e. for 197,8517 is 1677849.
Thus, GCF of Fractions is 1/1677849.Finally, GCF of Fractions for 2453/197, 9032/8517 is 1/1677849.