GCF of 4492/204, 3058/7984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4492/204, 3058/7984 i.e 2/407184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4492/204, 3058/7984.
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 4492/204,3058/7984?
Given fractions are 4492/204,3058/7984
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 4492/204,3058/7984, numerators are 4492,3058
Denominators are 204,7984
The GCF of 4492,3058 is 2 .
LCM of 204,7984 is 407184.
The greatest common factor of 4492/204,3058/7984 = [GCF of 4492,3058]/[LCM of 204,7984]= 2/407184
Therefore, the GCF of 4492/204,3058/7984 is 2/407184.
To find the highest common factor of 4492,3058, we have to find the factors of both numbers and list the highest common factor.
The factors of 4492 are 1, 2, 4, 1123, 2246, 4492
The factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058
The HCF of 4492,3058 is 2.
Lets's calculate GCF of 4492,3058
| 2 | 4492, 3058 |
| 2246, 1529 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4492,3058 By Matching Biggest Common Factor Method
Now, list down the factors of 4492
:1,2,4,1123,2246,4492
Now, list down the factors of 3058
:1,2,11,22,139,278,1529,3058
Greatest Common Factor
We found the factors 4492,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 4492,3058 is 2.
Lets's calculate LCM of 204,7984
| 2 | 204, 7984 |
| 2 | 102, 3992 |
| 51, 1996 |
∴ So the LCM of the given numbers is 2 x 2 x 51 x 1996 = 407184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/407184
Therefore, the GCF of Fractions 4492/204,3058/7984 is 2/407184
Least Common Multiple of 204,7984 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 204,7984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,7984) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(204,7984) x common factors =4 x 1 = 4
LCM(204,7984) = ( 204 × 7984 ) / 4
LCM(204,7984) = 1628736 / 4
LCM(204,7984) = 407184
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FAQs on GCF of Fractions of 4492/204, 3058/7984
1. What is the HCF of 4492,3058?
The HCF of 4492,3058 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 4492/204, 3058/7984?
Answer: GCF of Numerators as per given numbers 4492/204, 3058/7984 is
GCF of Numerators i.e. for 4492,3058 is 2
LCM of denominators i.e. for 204,7984 is 407184.
Thus, GCF of Fractions is 2/407184.Finally, GCF of Fractions for 4492/204, 3058/7984 is 2/407184.