GCF of 1503/594, 8993/1390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1503/594, 8993/1390 i.e 1/412830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1503/594, 8993/1390.
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 1503/594,8993/1390?
Given fractions are 1503/594,8993/1390
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 1503/594,8993/1390, numerators are 1503,8993
Denominators are 594,1390
The GCF of 1503,8993 is 1 .
LCM of 594,1390 is 412830.
The greatest common factor of 1503/594,8993/1390 = [GCF of 1503,8993]/[LCM of 594,1390]= 1/412830
Therefore, the GCF of 1503/594,8993/1390 is 1/412830.
To find the highest common factor of 1503,8993, we have to find the factors of both numbers and list the highest common factor.
The factors of 1503 are 1, 3, 9, 167, 501, 1503
The factors of 8993 are 1, 17, 23, 391, 529, 8993
The HCF of 1503,8993 is 1.
Lets's calculate GCF of 1503,8993
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1503,8993 By Matching Biggest Common Factor Method
Now, list down the factors of 1503
:1,3,9,167,501,1503
Now, list down the factors of 8993
:1,17,23,391,529,8993
Greatest Common Factor
We found the factors 1503,8993 . The biggest common factor number is the GCF number.
So the greatest common factor 1503,8993 is 1.
Lets's calculate LCM of 594,1390
| 2 | 594, 1390 |
| 297, 695 |
∴ So the LCM of the given numbers is 2 x 297 x 695 = 412830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412830
Therefore, the GCF of Fractions 1503/594,8993/1390 is 1/412830
Least Common Multiple of 594,1390 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 594,1390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,1390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(594,1390) x common factors =2 x 1 = 2
LCM(594,1390) = ( 594 × 1390 ) / 2
LCM(594,1390) = 825660 / 2
LCM(594,1390) = 412830
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FAQs on GCF of Fractions of 1503/594, 8993/1390
1. What is the HCF of 1503,8993?
The HCF of 1503,8993 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 1503/594, 8993/1390?
Answer: GCF of Numerators as per given numbers 1503/594, 8993/1390 is
GCF of Numerators i.e. for 1503,8993 is 1
LCM of denominators i.e. for 594,1390 is 412830.
Thus, GCF of Fractions is 1/412830.Finally, GCF of Fractions for 1503/594, 8993/1390 is 1/412830.