GCF of 6184/441, 3390/7872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6184/441, 3390/7872 i.e 2/1157184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6184/441, 3390/7872.
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 6184/441,3390/7872?
Given fractions are 6184/441,3390/7872
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 6184/441,3390/7872, numerators are 6184,3390
Denominators are 441,7872
The GCF of 6184,3390 is 2 .
LCM of 441,7872 is 1157184.
The greatest common factor of 6184/441,3390/7872 = [GCF of 6184,3390]/[LCM of 441,7872]= 2/1157184
Therefore, the GCF of 6184/441,3390/7872 is 2/1157184.
To find the highest common factor of 6184,3390, 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 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
The HCF of 6184,3390 is 2.
Lets's calculate GCF of 6184,3390
| 2 | 6184, 3390 |
| 3092, 1695 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6184,3390 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 3390
:1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Greatest Common Factor
We found the factors 6184,3390 . The biggest common factor number is the GCF number.
So the greatest common factor 6184,3390 is 2.
Lets's calculate LCM of 441,7872
| 3 | 441, 7872 |
| 147, 2624 |
∴ So the LCM of the given numbers is 3 x 147 x 2624 = 1157184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1157184
Therefore, the GCF of Fractions 6184/441,3390/7872 is 2/1157184
Least Common Multiple of 441,7872 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 441,7872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,7872) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(441,7872) x common factors =3 x 1 = 3
LCM(441,7872) = ( 441 × 7872 ) / 3
LCM(441,7872) = 3471552 / 3
LCM(441,7872) = 1157184
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FAQs on GCF of Fractions of 6184/441, 3390/7872
1. What is the HCF of 6184,3390?
The HCF of 6184,3390 is 2
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 6184/441, 3390/7872?
Answer: GCF of Numerators as per given numbers 6184/441, 3390/7872 is
GCF of Numerators i.e. for 6184,3390 is 2
LCM of denominators i.e. for 441,7872 is 1157184.
Thus, GCF of Fractions is 2/1157184.Finally, GCF of Fractions for 6184/441, 3390/7872 is 2/1157184.