GCF of 4664/292, 9651/1731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4664/292, 9651/1731 i.e 1/505452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4664/292, 9651/1731.
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 4664/292,9651/1731?
Given fractions are 4664/292,9651/1731
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 4664/292,9651/1731, numerators are 4664,9651
Denominators are 292,1731
The GCF of 4664,9651 is 1 .
LCM of 292,1731 is 505452.
The greatest common factor of 4664/292,9651/1731 = [GCF of 4664,9651]/[LCM of 292,1731]= 1/505452
Therefore, the GCF of 4664/292,9651/1731 is 1/505452.
To find the highest common factor of 4664,9651, we have to find the factors of both numbers and list the highest common factor.
The factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664
The factors of 9651 are 1, 3, 3217, 9651
The HCF of 4664,9651 is 1.
Lets's calculate GCF of 4664,9651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4664,9651 By Matching Biggest Common Factor Method
Now, list down the factors of 4664
:1,2,4,8,11,22,44,53,88,106,212,424,583,1166,2332,4664
Now, list down the factors of 9651
:1,3,3217,9651
Greatest Common Factor
We found the factors 4664,9651 . The biggest common factor number is the GCF number.
So the greatest common factor 4664,9651 is 1.
Lets's calculate LCM of 292,1731
Given numbers has no common factors except 1. So, there LCM is their product i.e 505452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505452
Therefore, the GCF of Fractions 4664/292,9651/1731 is 1/505452
Least Common Multiple of 292,1731 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 292,1731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,1731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,1731) x common factors =1 x 1 = 1
LCM(292,1731) = ( 292 × 1731 ) / 1
LCM(292,1731) = 505452 / 1
LCM(292,1731) = 505452
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FAQs on GCF of Fractions of 4664/292, 9651/1731
1. What is the HCF of 4664,9651?
The HCF of 4664,9651 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 4664/292, 9651/1731?
Answer: GCF of Numerators as per given numbers 4664/292, 9651/1731 is
GCF of Numerators i.e. for 4664,9651 is 1
LCM of denominators i.e. for 292,1731 is 505452.
Thus, GCF of Fractions is 1/505452.Finally, GCF of Fractions for 4664/292, 9651/1731 is 1/505452.