GCF of 6184/595, 3980/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6184/595, 3980/584 i.e 4/347480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6184/595, 3980/584.
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 6184/595,3980/584?
Given fractions are 6184/595,3980/584
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 6184/595,3980/584, numerators are 6184,3980
Denominators are 595,584
The GCF of 6184,3980 is 4 .
LCM of 595,584 is 347480.
The greatest common factor of 6184/595,3980/584 = [GCF of 6184,3980]/[LCM of 595,584]= 4/347480
Therefore, the GCF of 6184/595,3980/584 is 4/347480.
To find the highest common factor of 6184,3980, we have to find the factors of both numbers and list the highest common factor.
The factors of 6184 are 1, 2, 4, 8, 773, 1546, 3092, 6184
The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980
The HCF of 6184,3980 is 4.
Lets's calculate GCF of 6184,3980
| 2 | 6184, 3980 |
| 2 | 3092, 1990 |
| 1546, 995 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6184,3980 By Matching Biggest Common Factor Method
Now, list down the factors of 6184
:1,2,4,8,773,1546,3092,6184
Now, list down the factors of 3980
:1,2,4,5,10,20,199,398,796,995,1990,3980
Greatest Common Factor
We found the factors 6184,3980 . The biggest common factor number is the GCF number.
So the greatest common factor 6184,3980 is 4.
Lets's calculate LCM of 595,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 347480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/347480
Therefore, the GCF of Fractions 6184/595,3980/584 is 4/347480
Least Common Multiple of 595,584 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 595,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,584) x common factors =1 x 1 = 1
LCM(595,584) = ( 595 × 584 ) / 1
LCM(595,584) = 347480 / 1
LCM(595,584) = 347480
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FAQs on GCF of Fractions of 6184/595, 3980/584
1. What is the HCF of 6184,3980?
The HCF of 6184,3980 is 4
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 6184/595, 3980/584?
Answer: GCF of Numerators as per given numbers 6184/595, 3980/584 is
GCF of Numerators i.e. for 6184,3980 is 4
LCM of denominators i.e. for 595,584 is 347480.
Thus, GCF of Fractions is 4/347480.Finally, GCF of Fractions for 6184/595, 3980/584 is 4/347480.