GCF of 4171/998, 5197/6813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4171/998, 5197/6813 i.e 1/6799374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4171/998, 5197/6813.
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 4171/998,5197/6813?
Given fractions are 4171/998,5197/6813
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 4171/998,5197/6813, numerators are 4171,5197
Denominators are 998,6813
The GCF of 4171,5197 is 1 .
LCM of 998,6813 is 6799374.
The greatest common factor of 4171/998,5197/6813 = [GCF of 4171,5197]/[LCM of 998,6813]= 1/6799374
Therefore, the GCF of 4171/998,5197/6813 is 1/6799374.
To find the highest common factor of 4171,5197, we have to find the factors of both numbers and list the highest common factor.
The factors of 4171 are 1, 43, 97, 4171
The factors of 5197 are 1, 5197
The HCF of 4171,5197 is 1.
Lets's calculate GCF of 4171,5197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4171,5197 By Matching Biggest Common Factor Method
Now, list down the factors of 4171
:1,43,97,4171
Now, list down the factors of 5197
:1,5197
Greatest Common Factor
We found the factors 4171,5197 . The biggest common factor number is the GCF number.
So the greatest common factor 4171,5197 is 1.
Lets's calculate LCM of 998,6813
Given numbers has no common factors except 1. So, there LCM is their product i.e 6799374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6799374
Therefore, the GCF of Fractions 4171/998,5197/6813 is 1/6799374
Least Common Multiple of 998,6813 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 998,6813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,6813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,6813) x common factors =1 x 1 = 1
LCM(998,6813) = ( 998 × 6813 ) / 1
LCM(998,6813) = 6799374 / 1
LCM(998,6813) = 6799374
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FAQs on GCF of Fractions of 4171/998, 5197/6813
1. What is the HCF of 4171,5197?
The HCF of 4171,5197 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 4171/998, 5197/6813?
Answer: GCF of Numerators as per given numbers 4171/998, 5197/6813 is
GCF of Numerators i.e. for 4171,5197 is 1
LCM of denominators i.e. for 998,6813 is 6799374.
Thus, GCF of Fractions is 1/6799374.Finally, GCF of Fractions for 4171/998, 5197/6813 is 1/6799374.