GCF of 1610/483, 1440/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1610/483, 1440/131 i.e 10/63273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1610/483, 1440/131.
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 1610/483,1440/131?
Given fractions are 1610/483,1440/131
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 1610/483,1440/131, numerators are 1610,1440
Denominators are 483,131
The GCF of 1610,1440 is 10 .
LCM of 483,131 is 63273.
The greatest common factor of 1610/483,1440/131 = [GCF of 1610,1440]/[LCM of 483,131]= 10/63273
Therefore, the GCF of 1610/483,1440/131 is 10/63273.
To find the highest common factor of 1610,1440, we have to find the factors of both numbers and list the highest common factor.
The factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The HCF of 1610,1440 is 10.
Lets's calculate GCF of 1610,1440
| 2 | 1610, 1440 |
| 5 | 805, 720 |
| 161, 144 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1610,1440 By Matching Biggest Common Factor Method
Now, list down the factors of 1610
:1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors 1610,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,1440 is 10.
Lets's calculate LCM of 483,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 63273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/63273
Therefore, the GCF of Fractions 1610/483,1440/131 is 10/63273
Least Common Multiple of 483,131 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 483,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,131) x common factors =1 x 1 = 1
LCM(483,131) = ( 483 × 131 ) / 1
LCM(483,131) = 63273 / 1
LCM(483,131) = 63273
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FAQs on GCF of Fractions of 1610/483, 1440/131
1. What is the HCF of 1610,1440?
The HCF of 1610,1440 is 10
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 1610/483, 1440/131?
Answer: GCF of Numerators as per given numbers 1610/483, 1440/131 is
GCF of Numerators i.e. for 1610,1440 is 10
LCM of denominators i.e. for 483,131 is 63273.
Thus, GCF of Fractions is 10/63273.Finally, GCF of Fractions for 1610/483, 1440/131 is 10/63273.