GCF of 6544/324, 9138/6011
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6544/324, 9138/6011 i.e 2/1947564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6544/324, 9138/6011.
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 6544/324,9138/6011?
Given fractions are 6544/324,9138/6011
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 6544/324,9138/6011, numerators are 6544,9138
Denominators are 324,6011
The GCF of 6544,9138 is 2 .
LCM of 324,6011 is 1947564.
The greatest common factor of 6544/324,9138/6011 = [GCF of 6544,9138]/[LCM of 324,6011]= 2/1947564
Therefore, the GCF of 6544/324,9138/6011 is 2/1947564.
To find the highest common factor of 6544,9138, we have to find the factors of both numbers and list the highest common factor.
The factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544
The factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138
The HCF of 6544,9138 is 2.
Lets's calculate GCF of 6544,9138
| 2 | 6544, 9138 |
| 3272, 4569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6544,9138 By Matching Biggest Common Factor Method
Now, list down the factors of 6544
:1,2,4,8,16,409,818,1636,3272,6544
Now, list down the factors of 9138
:1,2,3,6,1523,3046,4569,9138
Greatest Common Factor
We found the factors 6544,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 6544,9138 is 2.
Lets's calculate LCM of 324,6011
Given numbers has no common factors except 1. So, there LCM is their product i.e 1947564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1947564
Therefore, the GCF of Fractions 6544/324,9138/6011 is 2/1947564
Least Common Multiple of 324,6011 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 324,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,6011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,6011) x common factors =1 x 1 = 1
LCM(324,6011) = ( 324 × 6011 ) / 1
LCM(324,6011) = 1947564 / 1
LCM(324,6011) = 1947564
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FAQs on GCF of Fractions of 6544/324, 9138/6011
1. What is the HCF of 6544,9138?
The HCF of 6544,9138 is 2
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 6544/324, 9138/6011?
Answer: GCF of Numerators as per given numbers 6544/324, 9138/6011 is
GCF of Numerators i.e. for 6544,9138 is 2
LCM of denominators i.e. for 324,6011 is 1947564.
Thus, GCF of Fractions is 2/1947564.Finally, GCF of Fractions for 6544/324, 9138/6011 is 2/1947564.