GCF of 2555/604, 1440/5033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2555/604, 1440/5033 i.e 5/3039932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2555/604, 1440/5033.
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 2555/604,1440/5033?
Given fractions are 2555/604,1440/5033
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 2555/604,1440/5033, numerators are 2555,1440
Denominators are 604,5033
The GCF of 2555,1440 is 5 .
LCM of 604,5033 is 3039932.
The greatest common factor of 2555/604,1440/5033 = [GCF of 2555,1440]/[LCM of 604,5033]= 5/3039932
Therefore, the GCF of 2555/604,1440/5033 is 5/3039932.
To find the highest common factor of 2555,1440, we have to find the factors of both numbers and list the highest common factor.
The factors of 2555 are 1, 5, 7, 35, 73, 365, 511, 2555
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 2555,1440 is 5.
Lets's calculate GCF of 2555,1440
| 5 | 2555, 1440 |
| 511, 288 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2555,1440 By Matching Biggest Common Factor Method
Now, list down the factors of 2555
:1,5,7,35,73,365,511,2555
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 2555,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 2555,1440 is 5.
Lets's calculate LCM of 604,5033
Given numbers has no common factors except 1. So, there LCM is their product i.e 3039932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3039932
Therefore, the GCF of Fractions 2555/604,1440/5033 is 5/3039932
Least Common Multiple of 604,5033 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 604,5033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,5033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,5033) x common factors =1 x 1 = 1
LCM(604,5033) = ( 604 × 5033 ) / 1
LCM(604,5033) = 3039932 / 1
LCM(604,5033) = 3039932
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FAQs on GCF of Fractions of 2555/604, 1440/5033
1. What is the HCF of 2555,1440?
The HCF of 2555,1440 is 5
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 2555/604, 1440/5033?
Answer: GCF of Numerators as per given numbers 2555/604, 1440/5033 is
GCF of Numerators i.e. for 2555,1440 is 5
LCM of denominators i.e. for 604,5033 is 3039932.
Thus, GCF of Fractions is 5/3039932.Finally, GCF of Fractions for 2555/604, 1440/5033 is 5/3039932.