GCF of 1350/262, 2739/9589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1350/262, 2739/9589 i.e 3/2512318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1350/262, 2739/9589.
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 1350/262,2739/9589?
Given fractions are 1350/262,2739/9589
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 1350/262,2739/9589, numerators are 1350,2739
Denominators are 262,9589
The GCF of 1350,2739 is 3 .
LCM of 262,9589 is 2512318.
The greatest common factor of 1350/262,2739/9589 = [GCF of 1350,2739]/[LCM of 262,9589]= 3/2512318
Therefore, the GCF of 1350/262,2739/9589 is 3/2512318.
To find the highest common factor of 1350,2739, we have to find the factors of both numbers and list the highest common factor.
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739
The HCF of 1350,2739 is 3.
Lets's calculate GCF of 1350,2739
| 3 | 1350, 2739 |
| 450, 913 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1350,2739 By Matching Biggest Common Factor Method
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Now, list down the factors of 2739
:1,3,11,33,83,249,913,2739
Greatest Common Factor
We found the factors 1350,2739 . The biggest common factor number is the GCF number.
So the greatest common factor 1350,2739 is 3.
Lets's calculate LCM of 262,9589
Given numbers has no common factors except 1. So, there LCM is their product i.e 2512318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2512318
Therefore, the GCF of Fractions 1350/262,2739/9589 is 3/2512318
Least Common Multiple of 262,9589 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 262,9589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,9589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,9589) x common factors =1 x 1 = 1
LCM(262,9589) = ( 262 × 9589 ) / 1
LCM(262,9589) = 2512318 / 1
LCM(262,9589) = 2512318
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FAQs on GCF of Fractions of 1350/262, 2739/9589
1. What is the HCF of 1350,2739?
The HCF of 1350,2739 is 3
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 1350/262, 2739/9589?
Answer: GCF of Numerators as per given numbers 1350/262, 2739/9589 is
GCF of Numerators i.e. for 1350,2739 is 3
LCM of denominators i.e. for 262,9589 is 2512318.
Thus, GCF of Fractions is 3/2512318.Finally, GCF of Fractions for 1350/262, 2739/9589 is 3/2512318.