GCF of 6489/125, 9278/5129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6489/125, 9278/5129 i.e 1/641125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6489/125, 9278/5129.
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 6489/125,9278/5129?
Given fractions are 6489/125,9278/5129
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 6489/125,9278/5129, numerators are 6489,9278
Denominators are 125,5129
The GCF of 6489,9278 is 1 .
LCM of 125,5129 is 641125.
The greatest common factor of 6489/125,9278/5129 = [GCF of 6489,9278]/[LCM of 125,5129]= 1/641125
Therefore, the GCF of 6489/125,9278/5129 is 1/641125.
To find the highest common factor of 6489,9278, 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 9278 are 1, 2, 4639, 9278
The HCF of 6489,9278 is 1.
Lets's calculate GCF of 6489,9278
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6489,9278 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 9278
:1,2,4639,9278
Greatest Common Factor
We found the factors 6489,9278 . The biggest common factor number is the GCF number.
So the greatest common factor 6489,9278 is 1.
Lets's calculate LCM of 125,5129
Given numbers has no common factors except 1. So, there LCM is their product i.e 641125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641125
Therefore, the GCF of Fractions 6489/125,9278/5129 is 1/641125
Least Common Multiple of 125,5129 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 125,5129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,5129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,5129) x common factors =1 x 1 = 1
LCM(125,5129) = ( 125 × 5129 ) / 1
LCM(125,5129) = 641125 / 1
LCM(125,5129) = 641125
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FAQs on GCF of Fractions of 6489/125, 9278/5129
1. What is the HCF of 6489,9278?
The HCF of 6489,9278 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 6489/125, 9278/5129?
Answer: GCF of Numerators as per given numbers 6489/125, 9278/5129 is
GCF of Numerators i.e. for 6489,9278 is 1
LCM of denominators i.e. for 125,5129 is 641125.
Thus, GCF of Fractions is 1/641125.Finally, GCF of Fractions for 6489/125, 9278/5129 is 1/641125.