GCF of 5201/197, 2217/1702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5201/197, 2217/1702 i.e 1/335294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5201/197, 2217/1702.
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 5201/197,2217/1702?
Given fractions are 5201/197,2217/1702
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 5201/197,2217/1702, numerators are 5201,2217
Denominators are 197,1702
The GCF of 5201,2217 is 1 .
LCM of 197,1702 is 335294.
The greatest common factor of 5201/197,2217/1702 = [GCF of 5201,2217]/[LCM of 197,1702]= 1/335294
Therefore, the GCF of 5201/197,2217/1702 is 1/335294.
To find the highest common factor of 5201,2217, we have to find the factors of both numbers and list the highest common factor.
The factors of 5201 are 1, 7, 743, 5201
The factors of 2217 are 1, 3, 739, 2217
The HCF of 5201,2217 is 1.
Lets's calculate GCF of 5201,2217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5201,2217 By Matching Biggest Common Factor Method
Now, list down the factors of 5201
:1,7,743,5201
Now, list down the factors of 2217
:1,3,739,2217
Greatest Common Factor
We found the factors 5201,2217 . The biggest common factor number is the GCF number.
So the greatest common factor 5201,2217 is 1.
Lets's calculate LCM of 197,1702
Given numbers has no common factors except 1. So, there LCM is their product i.e 335294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335294
Therefore, the GCF of Fractions 5201/197,2217/1702 is 1/335294
Least Common Multiple of 197,1702 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 197,1702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,1702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,1702) x common factors =1 x 1 = 1
LCM(197,1702) = ( 197 × 1702 ) / 1
LCM(197,1702) = 335294 / 1
LCM(197,1702) = 335294
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FAQs on GCF of Fractions of 5201/197, 2217/1702
1. What is the HCF of 5201,2217?
The HCF of 5201,2217 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 5201/197, 2217/1702?
Answer: GCF of Numerators as per given numbers 5201/197, 2217/1702 is
GCF of Numerators i.e. for 5201,2217 is 1
LCM of denominators i.e. for 197,1702 is 335294.
Thus, GCF of Fractions is 1/335294.Finally, GCF of Fractions for 5201/197, 2217/1702 is 1/335294.