GCF of 6644/521, 9106/7117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6644/521, 9106/7117 i.e 2/3707957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6644/521, 9106/7117.
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 6644/521,9106/7117?
Given fractions are 6644/521,9106/7117
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 6644/521,9106/7117, numerators are 6644,9106
Denominators are 521,7117
The GCF of 6644,9106 is 2 .
LCM of 521,7117 is 3707957.
The greatest common factor of 6644/521,9106/7117 = [GCF of 6644,9106]/[LCM of 521,7117]= 2/3707957
Therefore, the GCF of 6644/521,9106/7117 is 2/3707957.
To find the highest common factor of 6644,9106, we have to find the factors of both numbers and list the highest common factor.
The factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644
The factors of 9106 are 1, 2, 29, 58, 157, 314, 4553, 9106
The HCF of 6644,9106 is 2.
Lets's calculate GCF of 6644,9106
| 2 | 6644, 9106 |
| 3322, 4553 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6644,9106 By Matching Biggest Common Factor Method
Now, list down the factors of 6644
:1,2,4,11,22,44,151,302,604,1661,3322,6644
Now, list down the factors of 9106
:1,2,29,58,157,314,4553,9106
Greatest Common Factor
We found the factors 6644,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 6644,9106 is 2.
Lets's calculate LCM of 521,7117
Given numbers has no common factors except 1. So, there LCM is their product i.e 3707957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3707957
Therefore, the GCF of Fractions 6644/521,9106/7117 is 2/3707957
Least Common Multiple of 521,7117 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 521,7117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,7117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,7117) x common factors =1 x 1 = 1
LCM(521,7117) = ( 521 × 7117 ) / 1
LCM(521,7117) = 3707957 / 1
LCM(521,7117) = 3707957
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FAQs on GCF of Fractions of 6644/521, 9106/7117
1. What is the HCF of 6644,9106?
The HCF of 6644,9106 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 6644/521, 9106/7117?
Answer: GCF of Numerators as per given numbers 6644/521, 9106/7117 is
GCF of Numerators i.e. for 6644,9106 is 2
LCM of denominators i.e. for 521,7117 is 3707957.
Thus, GCF of Fractions is 2/3707957.Finally, GCF of Fractions for 6644/521, 9106/7117 is 2/3707957.