GCF of 5902/585, 5001/3201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5902/585, 5001/3201 i.e 1/624195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5902/585, 5001/3201.
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 5902/585,5001/3201?
Given fractions are 5902/585,5001/3201
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 5902/585,5001/3201, numerators are 5902,5001
Denominators are 585,3201
The GCF of 5902,5001 is 1 .
LCM of 585,3201 is 624195.
The greatest common factor of 5902/585,5001/3201 = [GCF of 5902,5001]/[LCM of 585,3201]= 1/624195
Therefore, the GCF of 5902/585,5001/3201 is 1/624195.
To find the highest common factor of 5902,5001, we have to find the factors of both numbers and list the highest common factor.
The factors of 5902 are 1, 2, 13, 26, 227, 454, 2951, 5902
The factors of 5001 are 1, 3, 1667, 5001
The HCF of 5902,5001 is 1.
Lets's calculate GCF of 5902,5001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5902,5001 By Matching Biggest Common Factor Method
Now, list down the factors of 5902
:1,2,13,26,227,454,2951,5902
Now, list down the factors of 5001
:1,3,1667,5001
Greatest Common Factor
We found the factors 5902,5001 . The biggest common factor number is the GCF number.
So the greatest common factor 5902,5001 is 1.
Lets's calculate LCM of 585,3201
| 3 | 585, 3201 |
| 195, 1067 |
∴ So the LCM of the given numbers is 3 x 195 x 1067 = 624195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624195
Therefore, the GCF of Fractions 5902/585,5001/3201 is 1/624195
Least Common Multiple of 585,3201 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 585,3201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,3201) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,3201) x common factors =3 x 1 = 3
LCM(585,3201) = ( 585 × 3201 ) / 3
LCM(585,3201) = 1872585 / 3
LCM(585,3201) = 624195
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FAQs on GCF of Fractions of 5902/585, 5001/3201
1. What is the HCF of 5902,5001?
The HCF of 5902,5001 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 5902/585, 5001/3201?
Answer: GCF of Numerators as per given numbers 5902/585, 5001/3201 is
GCF of Numerators i.e. for 5902,5001 is 1
LCM of denominators i.e. for 585,3201 is 624195.
Thus, GCF of Fractions is 1/624195.Finally, GCF of Fractions for 5902/585, 5001/3201 is 1/624195.