GCF of 9575/804, 5147/3905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9575/804, 5147/3905 i.e 1/3139620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9575/804, 5147/3905.
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 9575/804,5147/3905?
Given fractions are 9575/804,5147/3905
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 9575/804,5147/3905, numerators are 9575,5147
Denominators are 804,3905
The GCF of 9575,5147 is 1 .
LCM of 804,3905 is 3139620.
The greatest common factor of 9575/804,5147/3905 = [GCF of 9575,5147]/[LCM of 804,3905]= 1/3139620
Therefore, the GCF of 9575/804,5147/3905 is 1/3139620.
To find the highest common factor of 9575,5147, we have to find the factors of both numbers and list the highest common factor.
The factors of 9575 are 1, 5, 25, 383, 1915, 9575
The factors of 5147 are 1, 5147
The HCF of 9575,5147 is 1.
Lets's calculate GCF of 9575,5147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9575,5147 By Matching Biggest Common Factor Method
Now, list down the factors of 9575
:1,5,25,383,1915,9575
Now, list down the factors of 5147
:1,5147
Greatest Common Factor
We found the factors 9575,5147 . The biggest common factor number is the GCF number.
So the greatest common factor 9575,5147 is 1.
Lets's calculate LCM of 804,3905
Given numbers has no common factors except 1. So, there LCM is their product i.e 3139620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3139620
Therefore, the GCF of Fractions 9575/804,5147/3905 is 1/3139620
Least Common Multiple of 804,3905 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 804,3905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,3905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,3905) x common factors =1 x 1 = 1
LCM(804,3905) = ( 804 × 3905 ) / 1
LCM(804,3905) = 3139620 / 1
LCM(804,3905) = 3139620
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FAQs on GCF of Fractions of 9575/804, 5147/3905
1. What is the HCF of 9575,5147?
The HCF of 9575,5147 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 9575/804, 5147/3905?
Answer: GCF of Numerators as per given numbers 9575/804, 5147/3905 is
GCF of Numerators i.e. for 9575,5147 is 1
LCM of denominators i.e. for 804,3905 is 3139620.
Thus, GCF of Fractions is 1/3139620.Finally, GCF of Fractions for 9575/804, 5147/3905 is 1/3139620.