GCF of 1901/325, 5001/5372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1901/325, 5001/5372 i.e 1/1745900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1901/325, 5001/5372.
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 1901/325,5001/5372?
Given fractions are 1901/325,5001/5372
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 1901/325,5001/5372, numerators are 1901,5001
Denominators are 325,5372
The GCF of 1901,5001 is 1 .
LCM of 325,5372 is 1745900.
The greatest common factor of 1901/325,5001/5372 = [GCF of 1901,5001]/[LCM of 325,5372]= 1/1745900
Therefore, the GCF of 1901/325,5001/5372 is 1/1745900.
To find the highest common factor of 1901,5001, we have to find the factors of both numbers and list the highest common factor.
The factors of 1901 are 1, 1901
The factors of 5001 are 1, 3, 1667, 5001
The HCF of 1901,5001 is 1.
Lets's calculate GCF of 1901,5001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1901,5001 By Matching Biggest Common Factor Method
Now, list down the factors of 1901
:1,1901
Now, list down the factors of 5001
:1,3,1667,5001
Greatest Common Factor
We found the factors 1901,5001 . The biggest common factor number is the GCF number.
So the greatest common factor 1901,5001 is 1.
Lets's calculate LCM of 325,5372
Given numbers has no common factors except 1. So, there LCM is their product i.e 1745900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1745900
Therefore, the GCF of Fractions 1901/325,5001/5372 is 1/1745900
Least Common Multiple of 325,5372 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 325,5372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,5372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,5372) x common factors =1 x 1 = 1
LCM(325,5372) = ( 325 × 5372 ) / 1
LCM(325,5372) = 1745900 / 1
LCM(325,5372) = 1745900
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FAQs on GCF of Fractions of 1901/325, 5001/5372
1. What is the HCF of 1901,5001?
The HCF of 1901,5001 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 1901/325, 5001/5372?
Answer: GCF of Numerators as per given numbers 1901/325, 5001/5372 is
GCF of Numerators i.e. for 1901,5001 is 1
LCM of denominators i.e. for 325,5372 is 1745900.
Thus, GCF of Fractions is 1/1745900.Finally, GCF of Fractions for 1901/325, 5001/5372 is 1/1745900.