GCF of 3593/861, 2502/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3593/861, 2502/723 i.e 1/207501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3593/861, 2502/723.
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 3593/861,2502/723?
Given fractions are 3593/861,2502/723
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 3593/861,2502/723, numerators are 3593,2502
Denominators are 861,723
The GCF of 3593,2502 is 1 .
LCM of 861,723 is 207501.
The greatest common factor of 3593/861,2502/723 = [GCF of 3593,2502]/[LCM of 861,723]= 1/207501
Therefore, the GCF of 3593/861,2502/723 is 1/207501.
To find the highest common factor of 3593,2502, we have to find the factors of both numbers and list the highest common factor.
The factors of 3593 are 1, 3593
The factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502
The HCF of 3593,2502 is 1.
Lets's calculate GCF of 3593,2502
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3593,2502 By Matching Biggest Common Factor Method
Now, list down the factors of 3593
:1,3593
Now, list down the factors of 2502
:1,2,3,6,9,18,139,278,417,834,1251,2502
Greatest Common Factor
We found the factors 3593,2502 . The biggest common factor number is the GCF number.
So the greatest common factor 3593,2502 is 1.
Lets's calculate LCM of 861,723
| 3 | 861, 723 |
| 287, 241 |
∴ So the LCM of the given numbers is 3 x 287 x 241 = 207501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207501
Therefore, the GCF of Fractions 3593/861,2502/723 is 1/207501
Least Common Multiple of 861,723 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 861,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,723) x common factors =3 x 1 = 3
LCM(861,723) = ( 861 × 723 ) / 3
LCM(861,723) = 622503 / 3
LCM(861,723) = 207501
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FAQs on GCF of Fractions of 3593/861, 2502/723
1. What is the HCF of 3593,2502?
The HCF of 3593,2502 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 3593/861, 2502/723?
Answer: GCF of Numerators as per given numbers 3593/861, 2502/723 is
GCF of Numerators i.e. for 3593,2502 is 1
LCM of denominators i.e. for 861,723 is 207501.
Thus, GCF of Fractions is 1/207501.Finally, GCF of Fractions for 3593/861, 2502/723 is 1/207501.