GCF of 5697/131, 2008/4265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5697/131, 2008/4265 i.e 1/558715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5697/131, 2008/4265.
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 5697/131,2008/4265?
Given fractions are 5697/131,2008/4265
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 5697/131,2008/4265, numerators are 5697,2008
Denominators are 131,4265
The GCF of 5697,2008 is 1 .
LCM of 131,4265 is 558715.
The greatest common factor of 5697/131,2008/4265 = [GCF of 5697,2008]/[LCM of 131,4265]= 1/558715
Therefore, the GCF of 5697/131,2008/4265 is 1/558715.
To find the highest common factor of 5697,2008, we have to find the factors of both numbers and list the highest common factor.
The factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The HCF of 5697,2008 is 1.
Lets's calculate GCF of 5697,2008
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5697,2008 By Matching Biggest Common Factor Method
Now, list down the factors of 5697
:1,3,9,27,211,633,1899,5697
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Greatest Common Factor
We found the factors 5697,2008 . The biggest common factor number is the GCF number.
So the greatest common factor 5697,2008 is 1.
Lets's calculate LCM of 131,4265
Given numbers has no common factors except 1. So, there LCM is their product i.e 558715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558715
Therefore, the GCF of Fractions 5697/131,2008/4265 is 1/558715
Least Common Multiple of 131,4265 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 131,4265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,4265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,4265) x common factors =1 x 1 = 1
LCM(131,4265) = ( 131 × 4265 ) / 1
LCM(131,4265) = 558715 / 1
LCM(131,4265) = 558715
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FAQs on GCF of Fractions of 5697/131, 2008/4265
1. What is the HCF of 5697,2008?
The HCF of 5697,2008 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 5697/131, 2008/4265?
Answer: GCF of Numerators as per given numbers 5697/131, 2008/4265 is
GCF of Numerators i.e. for 5697,2008 is 1
LCM of denominators i.e. for 131,4265 is 558715.
Thus, GCF of Fractions is 1/558715.Finally, GCF of Fractions for 5697/131, 2008/4265 is 1/558715.