GCF of 7932/561, 5526/5335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7932/561, 5526/5335 i.e 6/272085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7932/561, 5526/5335.
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 7932/561,5526/5335?
Given fractions are 7932/561,5526/5335
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 7932/561,5526/5335, numerators are 7932,5526
Denominators are 561,5335
The GCF of 7932,5526 is 6 .
LCM of 561,5335 is 272085.
The greatest common factor of 7932/561,5526/5335 = [GCF of 7932,5526]/[LCM of 561,5335]= 6/272085
Therefore, the GCF of 7932/561,5526/5335 is 6/272085.
To find the highest common factor of 7932,5526, we have to find the factors of both numbers and list the highest common factor.
The factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932
The factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526
The HCF of 7932,5526 is 6.
Lets's calculate GCF of 7932,5526
| 2 | 7932, 5526 |
| 3 | 3966, 2763 |
| 1322, 921 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7932,5526 By Matching Biggest Common Factor Method
Now, list down the factors of 7932
:1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Now, list down the factors of 5526
:1,2,3,6,9,18,307,614,921,1842,2763,5526
Greatest Common Factor
We found the factors 7932,5526 . The biggest common factor number is the GCF number.
So the greatest common factor 7932,5526 is 6.
Lets's calculate LCM of 561,5335
| 11 | 561, 5335 |
| 51, 485 |
∴ So the LCM of the given numbers is 11 x 51 x 485 = 272085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/272085
Therefore, the GCF of Fractions 7932/561,5526/5335 is 6/272085
Least Common Multiple of 561,5335 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 561,5335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,5335) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(561,5335) x common factors =11 x 1 = 11
LCM(561,5335) = ( 561 × 5335 ) / 11
LCM(561,5335) = 2992935 / 11
LCM(561,5335) = 272085
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FAQs on GCF of Fractions of 7932/561, 5526/5335
1. What is the HCF of 7932,5526?
The HCF of 7932,5526 is 6
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 7932/561, 5526/5335?
Answer: GCF of Numerators as per given numbers 7932/561, 5526/5335 is
GCF of Numerators i.e. for 7932,5526 is 6
LCM of denominators i.e. for 561,5335 is 272085.
Thus, GCF of Fractions is 6/272085.Finally, GCF of Fractions for 7932/561, 5526/5335 is 6/272085.