GCF of 2620/204, 1440/7258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2620/204, 1440/7258 i.e 20/740316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2620/204, 1440/7258.
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 2620/204,1440/7258?
Given fractions are 2620/204,1440/7258
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 2620/204,1440/7258, numerators are 2620,1440
Denominators are 204,7258
The GCF of 2620,1440 is 20 .
LCM of 204,7258 is 740316.
The greatest common factor of 2620/204,1440/7258 = [GCF of 2620,1440]/[LCM of 204,7258]= 20/740316
Therefore, the GCF of 2620/204,1440/7258 is 20/740316.
To find the highest common factor of 2620,1440, we have to find the factors of both numbers and list the highest common factor.
The factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620
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 2620,1440 is 20.
Lets's calculate GCF of 2620,1440
| 2 | 2620, 1440 |
| 2 | 1310, 720 |
| 5 | 655, 360 |
| 131, 72 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 2620,1440 By Matching Biggest Common Factor Method
Now, list down the factors of 2620
:1,2,4,5,10,20,131,262,524,655,1310,2620
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 2620,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 2620,1440 is 20.
Lets's calculate LCM of 204,7258
| 2 | 204, 7258 |
| 102, 3629 |
∴ So the LCM of the given numbers is 2 x 102 x 3629 = 740316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/740316
Therefore, the GCF of Fractions 2620/204,1440/7258 is 20/740316
Least Common Multiple of 204,7258 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 204,7258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,7258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(204,7258) x common factors =2 x 1 = 2
LCM(204,7258) = ( 204 × 7258 ) / 2
LCM(204,7258) = 1480632 / 2
LCM(204,7258) = 740316
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FAQs on GCF of Fractions of 2620/204, 1440/7258
1. What is the HCF of 2620,1440?
The HCF of 2620,1440 is 20
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 2620/204, 1440/7258?
Answer: GCF of Numerators as per given numbers 2620/204, 1440/7258 is
GCF of Numerators i.e. for 2620,1440 is 20
LCM of denominators i.e. for 204,7258 is 740316.
Thus, GCF of Fractions is 20/740316.Finally, GCF of Fractions for 2620/204, 1440/7258 is 20/740316.