GCF of 4355/667, 8697/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4355/667, 8697/997 i.e 13/664999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4355/667, 8697/997.
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 4355/667,8697/997?
Given fractions are 4355/667,8697/997
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 4355/667,8697/997, numerators are 4355,8697
Denominators are 667,997
The GCF of 4355,8697 is 13 .
LCM of 667,997 is 664999.
The greatest common factor of 4355/667,8697/997 = [GCF of 4355,8697]/[LCM of 667,997]= 13/664999
Therefore, the GCF of 4355/667,8697/997 is 13/664999.
To find the highest common factor of 4355,8697, we have to find the factors of both numbers and list the highest common factor.
The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The HCF of 4355,8697 is 13.
Lets's calculate GCF of 4355,8697
| 13 | 4355, 8697 |
| 335, 669 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4355,8697 By Matching Biggest Common Factor Method
Now, list down the factors of 4355
:1,5,13,65,67,335,871,4355
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Greatest Common Factor
We found the factors 4355,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 4355,8697 is 13.
Lets's calculate LCM of 667,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 664999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/664999
Therefore, the GCF of Fractions 4355/667,8697/997 is 13/664999
Least Common Multiple of 667,997 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 667,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,997) x common factors =1 x 1 = 1
LCM(667,997) = ( 667 × 997 ) / 1
LCM(667,997) = 664999 / 1
LCM(667,997) = 664999
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FAQs on GCF of Fractions of 4355/667, 8697/997
1. What is the HCF of 4355,8697?
The HCF of 4355,8697 is 13
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 4355/667, 8697/997?
Answer: GCF of Numerators as per given numbers 4355/667, 8697/997 is
GCF of Numerators i.e. for 4355,8697 is 13
LCM of denominators i.e. for 667,997 is 664999.
Thus, GCF of Fractions is 13/664999.Finally, GCF of Fractions for 4355/667, 8697/997 is 13/664999.