GCF of 6400/190, 4120/5808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6400/190, 4120/5808 i.e 40/551760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6400/190, 4120/5808.
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 6400/190,4120/5808?
Given fractions are 6400/190,4120/5808
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 6400/190,4120/5808, numerators are 6400,4120
Denominators are 190,5808
The GCF of 6400,4120 is 40 .
LCM of 190,5808 is 551760.
The greatest common factor of 6400/190,4120/5808 = [GCF of 6400,4120]/[LCM of 190,5808]= 40/551760
Therefore, the GCF of 6400/190,4120/5808 is 40/551760.
To find the highest common factor of 6400,4120, we have to find the factors of both numbers and list the highest common factor.
The factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 6400,4120 is 40.
Lets's calculate GCF of 6400,4120
| 2 | 6400, 4120 |
| 2 | 3200, 2060 |
| 2 | 1600, 1030 |
| 5 | 800, 515 |
| 160, 103 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 6400,4120 By Matching Biggest Common Factor Method
Now, list down the factors of 6400
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 6400,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 6400,4120 is 40.
Lets's calculate LCM of 190,5808
| 2 | 190, 5808 |
| 95, 2904 |
∴ So the LCM of the given numbers is 2 x 95 x 2904 = 551760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/551760
Therefore, the GCF of Fractions 6400/190,4120/5808 is 40/551760
Least Common Multiple of 190,5808 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 190,5808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,5808) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,5808) x common factors =2 x 1 = 2
LCM(190,5808) = ( 190 × 5808 ) / 2
LCM(190,5808) = 1103520 / 2
LCM(190,5808) = 551760
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FAQs on GCF of Fractions of 6400/190, 4120/5808
1. What is the HCF of 6400,4120?
The HCF of 6400,4120 is 40
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 6400/190, 4120/5808?
Answer: GCF of Numerators as per given numbers 6400/190, 4120/5808 is
GCF of Numerators i.e. for 6400,4120 is 40
LCM of denominators i.e. for 190,5808 is 551760.
Thus, GCF of Fractions is 40/551760.Finally, GCF of Fractions for 6400/190, 4120/5808 is 40/551760.