GCF of 6096/879, 4018/2150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6096/879, 4018/2150 i.e 2/1889850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6096/879, 4018/2150.
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 6096/879,4018/2150?
Given fractions are 6096/879,4018/2150
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 6096/879,4018/2150, numerators are 6096,4018
Denominators are 879,2150
The GCF of 6096,4018 is 2 .
LCM of 879,2150 is 1889850.
The greatest common factor of 6096/879,4018/2150 = [GCF of 6096,4018]/[LCM of 879,2150]= 2/1889850
Therefore, the GCF of 6096/879,4018/2150 is 2/1889850.
To find the highest common factor of 6096,4018, we have to find the factors of both numbers and list the highest common factor.
The factors of 6096 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096
The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018
The HCF of 6096,4018 is 2.
Lets's calculate GCF of 6096,4018
| 2 | 6096, 4018 |
| 3048, 2009 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6096,4018 By Matching Biggest Common Factor Method
Now, list down the factors of 6096
:1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096
Now, list down the factors of 4018
:1,2,7,14,41,49,82,98,287,574,2009,4018
Greatest Common Factor
We found the factors 6096,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 6096,4018 is 2.
Lets's calculate LCM of 879,2150
Given numbers has no common factors except 1. So, there LCM is their product i.e 1889850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1889850
Therefore, the GCF of Fractions 6096/879,4018/2150 is 2/1889850
Least Common Multiple of 879,2150 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 879,2150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,2150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,2150) x common factors =1 x 1 = 1
LCM(879,2150) = ( 879 × 2150 ) / 1
LCM(879,2150) = 1889850 / 1
LCM(879,2150) = 1889850
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FAQs on GCF of Fractions of 6096/879, 4018/2150
1. What is the HCF of 6096,4018?
The HCF of 6096,4018 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 6096/879, 4018/2150?
Answer: GCF of Numerators as per given numbers 6096/879, 4018/2150 is
GCF of Numerators i.e. for 6096,4018 is 2
LCM of denominators i.e. for 879,2150 is 1889850.
Thus, GCF of Fractions is 2/1889850.Finally, GCF of Fractions for 6096/879, 4018/2150 is 2/1889850.