GCF of 6165/751, 9926/2116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6165/751, 9926/2116 i.e 1/1589116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6165/751, 9926/2116.
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 6165/751,9926/2116?
Given fractions are 6165/751,9926/2116
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 6165/751,9926/2116, numerators are 6165,9926
Denominators are 751,2116
The GCF of 6165,9926 is 1 .
LCM of 751,2116 is 1589116.
The greatest common factor of 6165/751,9926/2116 = [GCF of 6165,9926]/[LCM of 751,2116]= 1/1589116
Therefore, the GCF of 6165/751,9926/2116 is 1/1589116.
To find the highest common factor of 6165,9926, we have to find the factors of both numbers and list the highest common factor.
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926
The HCF of 6165,9926 is 1.
Lets's calculate GCF of 6165,9926
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6165,9926 By Matching Biggest Common Factor Method
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Now, list down the factors of 9926
:1,2,7,14,709,1418,4963,9926
Greatest Common Factor
We found the factors 6165,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 6165,9926 is 1.
Lets's calculate LCM of 751,2116
Given numbers has no common factors except 1. So, there LCM is their product i.e 1589116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1589116
Therefore, the GCF of Fractions 6165/751,9926/2116 is 1/1589116
Least Common Multiple of 751,2116 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 751,2116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,2116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,2116) x common factors =1 x 1 = 1
LCM(751,2116) = ( 751 × 2116 ) / 1
LCM(751,2116) = 1589116 / 1
LCM(751,2116) = 1589116
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FAQs on GCF of Fractions of 6165/751, 9926/2116
1. What is the HCF of 6165,9926?
The HCF of 6165,9926 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 6165/751, 9926/2116?
Answer: GCF of Numerators as per given numbers 6165/751, 9926/2116 is
GCF of Numerators i.e. for 6165,9926 is 1
LCM of denominators i.e. for 751,2116 is 1589116.
Thus, GCF of Fractions is 1/1589116.Finally, GCF of Fractions for 6165/751, 9926/2116 is 1/1589116.