GCF of 7664/569, 4303/3285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7664/569, 4303/3285 i.e 1/1869165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7664/569, 4303/3285.
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 7664/569,4303/3285?
Given fractions are 7664/569,4303/3285
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 7664/569,4303/3285, numerators are 7664,4303
Denominators are 569,3285
The GCF of 7664,4303 is 1 .
LCM of 569,3285 is 1869165.
The greatest common factor of 7664/569,4303/3285 = [GCF of 7664,4303]/[LCM of 569,3285]= 1/1869165
Therefore, the GCF of 7664/569,4303/3285 is 1/1869165.
To find the highest common factor of 7664,4303, we have to find the factors of both numbers and list the highest common factor.
The factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664
The factors of 4303 are 1, 13, 331, 4303
The HCF of 7664,4303 is 1.
Lets's calculate GCF of 7664,4303
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7664,4303 By Matching Biggest Common Factor Method
Now, list down the factors of 7664
:1,2,4,8,16,479,958,1916,3832,7664
Now, list down the factors of 4303
:1,13,331,4303
Greatest Common Factor
We found the factors 7664,4303 . The biggest common factor number is the GCF number.
So the greatest common factor 7664,4303 is 1.
Lets's calculate LCM of 569,3285
Given numbers has no common factors except 1. So, there LCM is their product i.e 1869165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1869165
Therefore, the GCF of Fractions 7664/569,4303/3285 is 1/1869165
Least Common Multiple of 569,3285 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 569,3285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,3285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,3285) x common factors =1 x 1 = 1
LCM(569,3285) = ( 569 × 3285 ) / 1
LCM(569,3285) = 1869165 / 1
LCM(569,3285) = 1869165
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FAQs on GCF of Fractions of 7664/569, 4303/3285
1. What is the HCF of 7664,4303?
The HCF of 7664,4303 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 7664/569, 4303/3285?
Answer: GCF of Numerators as per given numbers 7664/569, 4303/3285 is
GCF of Numerators i.e. for 7664,4303 is 1
LCM of denominators i.e. for 569,3285 is 1869165.
Thus, GCF of Fractions is 1/1869165.Finally, GCF of Fractions for 7664/569, 4303/3285 is 1/1869165.