GCF of 4626/570, 2838/177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4626/570, 2838/177 i.e 6/33630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4626/570, 2838/177.
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 4626/570,2838/177?
Given fractions are 4626/570,2838/177
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 4626/570,2838/177, numerators are 4626,2838
Denominators are 570,177
The GCF of 4626,2838 is 6 .
LCM of 570,177 is 33630.
The greatest common factor of 4626/570,2838/177 = [GCF of 4626,2838]/[LCM of 570,177]= 6/33630
Therefore, the GCF of 4626/570,2838/177 is 6/33630.
To find the highest common factor of 4626,2838, we have to find the factors of both numbers and list the highest common factor.
The factors of 4626 are 1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626
The factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
The HCF of 4626,2838 is 6.
Lets's calculate GCF of 4626,2838
| 2 | 4626, 2838 |
| 3 | 2313, 1419 |
| 771, 473 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4626,2838 By Matching Biggest Common Factor Method
Now, list down the factors of 4626
:1,2,3,6,9,18,257,514,771,1542,2313,4626
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 4626,2838 . The biggest common factor number is the GCF number.
So the greatest common factor 4626,2838 is 6.
Lets's calculate LCM of 570,177
| 3 | 570, 177 |
| 190, 59 |
∴ So the LCM of the given numbers is 3 x 190 x 59 = 33630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/33630
Therefore, the GCF of Fractions 4626/570,2838/177 is 6/33630
Least Common Multiple of 570,177 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 570,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,177) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(570,177) x common factors =3 x 1 = 3
LCM(570,177) = ( 570 × 177 ) / 3
LCM(570,177) = 100890 / 3
LCM(570,177) = 33630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4626/570, 2838/177
1. What is the HCF of 4626,2838?
The HCF of 4626,2838 is 6
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 4626/570, 2838/177?
Answer: GCF of Numerators as per given numbers 4626/570, 2838/177 is
GCF of Numerators i.e. for 4626,2838 is 6
LCM of denominators i.e. for 570,177 is 33630.
Thus, GCF of Fractions is 6/33630.Finally, GCF of Fractions for 4626/570, 2838/177 is 6/33630.