GCF of 3153/146, 2838/4060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3153/146, 2838/4060 i.e 3/296380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3153/146, 2838/4060.
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 3153/146,2838/4060?
Given fractions are 3153/146,2838/4060
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 3153/146,2838/4060, numerators are 3153,2838
Denominators are 146,4060
The GCF of 3153,2838 is 3 .
LCM of 146,4060 is 296380.
The greatest common factor of 3153/146,2838/4060 = [GCF of 3153,2838]/[LCM of 146,4060]= 3/296380
Therefore, the GCF of 3153/146,2838/4060 is 3/296380.
To find the highest common factor of 3153,2838, we have to find the factors of both numbers and list the highest common factor.
The factors of 3153 are 1, 3, 1051, 3153
The factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
The HCF of 3153,2838 is 3.
Lets's calculate GCF of 3153,2838
| 3 | 3153, 2838 |
| 1051, 946 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3153,2838 By Matching Biggest Common Factor Method
Now, list down the factors of 3153
:1,3,1051,3153
Now, list down the factors of 2838
:1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838
Greatest Common Factor
We found the factors 3153,2838 . The biggest common factor number is the GCF number.
So the greatest common factor 3153,2838 is 3.
Lets's calculate LCM of 146,4060
| 2 | 146, 4060 |
| 73, 2030 |
∴ So the LCM of the given numbers is 2 x 73 x 2030 = 296380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/296380
Therefore, the GCF of Fractions 3153/146,2838/4060 is 3/296380
Least Common Multiple of 146,4060 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 146,4060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,4060) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,4060) x common factors =2 x 1 = 2
LCM(146,4060) = ( 146 × 4060 ) / 2
LCM(146,4060) = 592760 / 2
LCM(146,4060) = 296380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3153/146, 2838/4060
1. What is the HCF of 3153,2838?
The HCF of 3153,2838 is 3
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 3153/146, 2838/4060?
Answer: GCF of Numerators as per given numbers 3153/146, 2838/4060 is
GCF of Numerators i.e. for 3153,2838 is 3
LCM of denominators i.e. for 146,4060 is 296380.
Thus, GCF of Fractions is 3/296380.Finally, GCF of Fractions for 3153/146, 2838/4060 is 3/296380.