GCF of 8830/574, 2040/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8830/574, 2040/389 i.e 10/223286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8830/574, 2040/389.
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 8830/574,2040/389?
Given fractions are 8830/574,2040/389
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 8830/574,2040/389, numerators are 8830,2040
Denominators are 574,389
The GCF of 8830,2040 is 10 .
LCM of 574,389 is 223286.
The greatest common factor of 8830/574,2040/389 = [GCF of 8830,2040]/[LCM of 574,389]= 10/223286
Therefore, the GCF of 8830/574,2040/389 is 10/223286.
To find the highest common factor of 8830,2040, we have to find the factors of both numbers and list the highest common factor.
The factors of 8830 are 1, 2, 5, 10, 883, 1766, 4415, 8830
The factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040
The HCF of 8830,2040 is 10.
Lets's calculate GCF of 8830,2040
| 2 | 8830, 2040 |
| 5 | 4415, 1020 |
| 883, 204 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8830,2040 By Matching Biggest Common Factor Method
Now, list down the factors of 8830
:1,2,5,10,883,1766,4415,8830
Now, list down the factors of 2040
:1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Greatest Common Factor
We found the factors 8830,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 8830,2040 is 10.
Lets's calculate LCM of 574,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 223286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/223286
Therefore, the GCF of Fractions 8830/574,2040/389 is 10/223286
Least Common Multiple of 574,389 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 574,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,389) x common factors =1 x 1 = 1
LCM(574,389) = ( 574 × 389 ) / 1
LCM(574,389) = 223286 / 1
LCM(574,389) = 223286
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FAQs on GCF of Fractions of 8830/574, 2040/389
1. What is the HCF of 8830,2040?
The HCF of 8830,2040 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 8830/574, 2040/389?
Answer: GCF of Numerators as per given numbers 8830/574, 2040/389 is
GCF of Numerators i.e. for 8830,2040 is 10
LCM of denominators i.e. for 574,389 is 223286.
Thus, GCF of Fractions is 10/223286.Finally, GCF of Fractions for 8830/574, 2040/389 is 10/223286.