GCF of 6489/929, 5975/9774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6489/929, 5975/9774 i.e 1/9080046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6489/929, 5975/9774.
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 6489/929,5975/9774?
Given fractions are 6489/929,5975/9774
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 6489/929,5975/9774, numerators are 6489,5975
Denominators are 929,9774
The GCF of 6489,5975 is 1 .
LCM of 929,9774 is 9080046.
The greatest common factor of 6489/929,5975/9774 = [GCF of 6489,5975]/[LCM of 929,9774]= 1/9080046
Therefore, the GCF of 6489/929,5975/9774 is 1/9080046.
To find the highest common factor of 6489,5975, we have to find the factors of both numbers and list the highest common factor.
The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489
The factors of 5975 are 1, 5, 25, 239, 1195, 5975
The HCF of 6489,5975 is 1.
Lets's calculate GCF of 6489,5975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6489,5975 By Matching Biggest Common Factor Method
Now, list down the factors of 6489
:1,3,7,9,21,63,103,309,721,927,2163,6489
Now, list down the factors of 5975
:1,5,25,239,1195,5975
Greatest Common Factor
We found the factors 6489,5975 . The biggest common factor number is the GCF number.
So the greatest common factor 6489,5975 is 1.
Lets's calculate LCM of 929,9774
Given numbers has no common factors except 1. So, there LCM is their product i.e 9080046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9080046
Therefore, the GCF of Fractions 6489/929,5975/9774 is 1/9080046
Least Common Multiple of 929,9774 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 929,9774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,9774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,9774) x common factors =1 x 1 = 1
LCM(929,9774) = ( 929 × 9774 ) / 1
LCM(929,9774) = 9080046 / 1
LCM(929,9774) = 9080046
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FAQs on GCF of Fractions of 6489/929, 5975/9774
1. What is the HCF of 6489,5975?
The HCF of 6489,5975 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 6489/929, 5975/9774?
Answer: GCF of Numerators as per given numbers 6489/929, 5975/9774 is
GCF of Numerators i.e. for 6489,5975 is 1
LCM of denominators i.e. for 929,9774 is 9080046.
Thus, GCF of Fractions is 1/9080046.Finally, GCF of Fractions for 6489/929, 5975/9774 is 1/9080046.