GCF of 1597/517, 5201/745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1597/517, 5201/745 i.e 1/385165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1597/517, 5201/745.
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 1597/517,5201/745?
Given fractions are 1597/517,5201/745
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 1597/517,5201/745, numerators are 1597,5201
Denominators are 517,745
The GCF of 1597,5201 is 1 .
LCM of 517,745 is 385165.
The greatest common factor of 1597/517,5201/745 = [GCF of 1597,5201]/[LCM of 517,745]= 1/385165
Therefore, the GCF of 1597/517,5201/745 is 1/385165.
To find the highest common factor of 1597,5201, we have to find the factors of both numbers and list the highest common factor.
The factors of 1597 are 1, 1597
The factors of 5201 are 1, 7, 743, 5201
The HCF of 1597,5201 is 1.
Lets's calculate GCF of 1597,5201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1597,5201 By Matching Biggest Common Factor Method
Now, list down the factors of 1597
:1,1597
Now, list down the factors of 5201
:1,7,743,5201
Greatest Common Factor
We found the factors 1597,5201 . The biggest common factor number is the GCF number.
So the greatest common factor 1597,5201 is 1.
Lets's calculate LCM of 517,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 385165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385165
Therefore, the GCF of Fractions 1597/517,5201/745 is 1/385165
Least Common Multiple of 517,745 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 517,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,745) x common factors =1 x 1 = 1
LCM(517,745) = ( 517 × 745 ) / 1
LCM(517,745) = 385165 / 1
LCM(517,745) = 385165
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FAQs on GCF of Fractions of 1597/517, 5201/745
1. What is the HCF of 1597,5201?
The HCF of 1597,5201 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 1597/517, 5201/745?
Answer: GCF of Numerators as per given numbers 1597/517, 5201/745 is
GCF of Numerators i.e. for 1597,5201 is 1
LCM of denominators i.e. for 517,745 is 385165.
Thus, GCF of Fractions is 1/385165.Finally, GCF of Fractions for 1597/517, 5201/745 is 1/385165.