GCF of 1164/407, 7464/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1164/407, 7464/686 i.e 12/279202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1164/407, 7464/686.
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 1164/407,7464/686?
Given fractions are 1164/407,7464/686
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 1164/407,7464/686, numerators are 1164,7464
Denominators are 407,686
The GCF of 1164,7464 is 12 .
LCM of 407,686 is 279202.
The greatest common factor of 1164/407,7464/686 = [GCF of 1164,7464]/[LCM of 407,686]= 12/279202
Therefore, the GCF of 1164/407,7464/686 is 12/279202.
To find the highest common factor of 1164,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 1164,7464 is 12.
Lets's calculate GCF of 1164,7464
| 2 | 1164, 7464 |
| 2 | 582, 3732 |
| 3 | 291, 1866 |
| 97, 622 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1164,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 1164
:1,2,3,4,6,12,97,194,291,388,582,1164
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 1164,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 1164,7464 is 12.
Lets's calculate LCM of 407,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 279202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/279202
Therefore, the GCF of Fractions 1164/407,7464/686 is 12/279202
Least Common Multiple of 407,686 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 407,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,686) x common factors =1 x 1 = 1
LCM(407,686) = ( 407 × 686 ) / 1
LCM(407,686) = 279202 / 1
LCM(407,686) = 279202
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FAQs on GCF of Fractions of 1164/407, 7464/686
1. What is the HCF of 1164,7464?
The HCF of 1164,7464 is 12
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 1164/407, 7464/686?
Answer: GCF of Numerators as per given numbers 1164/407, 7464/686 is
GCF of Numerators i.e. for 1164,7464 is 12
LCM of denominators i.e. for 407,686 is 279202.
Thus, GCF of Fractions is 12/279202.Finally, GCF of Fractions for 1164/407, 7464/686 is 12/279202.