GCF of 5327/561, 7664/2784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5327/561, 7664/2784 i.e 1/520608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5327/561, 7664/2784.
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 5327/561,7664/2784?
Given fractions are 5327/561,7664/2784
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 5327/561,7664/2784, numerators are 5327,7664
Denominators are 561,2784
The GCF of 5327,7664 is 1 .
LCM of 561,2784 is 520608.
The greatest common factor of 5327/561,7664/2784 = [GCF of 5327,7664]/[LCM of 561,2784]= 1/520608
Therefore, the GCF of 5327/561,7664/2784 is 1/520608.
To find the highest common factor of 5327,7664, we have to find the factors of both numbers and list the highest common factor.
The factors of 5327 are 1, 7, 761, 5327
The factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664
The HCF of 5327,7664 is 1.
Lets's calculate GCF of 5327,7664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5327,7664 By Matching Biggest Common Factor Method
Now, list down the factors of 5327
:1,7,761,5327
Now, list down the factors of 7664
:1,2,4,8,16,479,958,1916,3832,7664
Greatest Common Factor
We found the factors 5327,7664 . The biggest common factor number is the GCF number.
So the greatest common factor 5327,7664 is 1.
Lets's calculate LCM of 561,2784
| 3 | 561, 2784 |
| 187, 928 |
∴ So the LCM of the given numbers is 3 x 187 x 928 = 520608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520608
Therefore, the GCF of Fractions 5327/561,7664/2784 is 1/520608
Least Common Multiple of 561,2784 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 561,2784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,2784) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,2784) x common factors =3 x 1 = 3
LCM(561,2784) = ( 561 × 2784 ) / 3
LCM(561,2784) = 1561824 / 3
LCM(561,2784) = 520608
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FAQs on GCF of Fractions of 5327/561, 7664/2784
1. What is the HCF of 5327,7664?
The HCF of 5327,7664 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 5327/561, 7664/2784?
Answer: GCF of Numerators as per given numbers 5327/561, 7664/2784 is
GCF of Numerators i.e. for 5327,7664 is 1
LCM of denominators i.e. for 561,2784 is 520608.
Thus, GCF of Fractions is 1/520608.Finally, GCF of Fractions for 5327/561, 7664/2784 is 1/520608.