GCF of 2988/186, 6304/2029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2988/186, 6304/2029 i.e 4/377394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2988/186, 6304/2029.
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 2988/186,6304/2029?
Given fractions are 2988/186,6304/2029
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 2988/186,6304/2029, numerators are 2988,6304
Denominators are 186,2029
The GCF of 2988,6304 is 4 .
LCM of 186,2029 is 377394.
The greatest common factor of 2988/186,6304/2029 = [GCF of 2988,6304]/[LCM of 186,2029]= 4/377394
Therefore, the GCF of 2988/186,6304/2029 is 4/377394.
To find the highest common factor of 2988,6304, we have to find the factors of both numbers and list the highest common factor.
The factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988
The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The HCF of 2988,6304 is 4.
Lets's calculate GCF of 2988,6304
| 2 | 2988, 6304 |
| 2 | 1494, 3152 |
| 747, 1576 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2988,6304 By Matching Biggest Common Factor Method
Now, list down the factors of 2988
:1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988
Now, list down the factors of 6304
:1,2,4,8,16,32,197,394,788,1576,3152,6304
Greatest Common Factor
We found the factors 2988,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 2988,6304 is 4.
Lets's calculate LCM of 186,2029
Given numbers has no common factors except 1. So, there LCM is their product i.e 377394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/377394
Therefore, the GCF of Fractions 2988/186,6304/2029 is 4/377394
Least Common Multiple of 186,2029 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 186,2029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,2029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,2029) x common factors =1 x 1 = 1
LCM(186,2029) = ( 186 × 2029 ) / 1
LCM(186,2029) = 377394 / 1
LCM(186,2029) = 377394
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2988/186, 6304/2029
1. What is the HCF of 2988,6304?
The HCF of 2988,6304 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 2988/186, 6304/2029?
Answer: GCF of Numerators as per given numbers 2988/186, 6304/2029 is
GCF of Numerators i.e. for 2988,6304 is 4
LCM of denominators i.e. for 186,2029 is 377394.
Thus, GCF of Fractions is 4/377394.Finally, GCF of Fractions for 2988/186, 6304/2029 is 4/377394.