GCF of 570/51, 810/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 570/51, 810/428 i.e 30/21828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/51, 810/428.
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 570/51,810/428?
Given fractions are 570/51,810/428
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 570/51,810/428, numerators are 570,810
Denominators are 51,428
The GCF of 570,810 is 30 .
LCM of 51,428 is 21828.
The greatest common factor of 570/51,810/428 = [GCF of 570,810]/[LCM of 51,428]= 30/21828
Therefore, the GCF of 570/51,810/428 is 30/21828.
To find the highest common factor of 570,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 570,810 is 30.
Lets's calculate GCF of 570,810
| 2 | 570, 810 |
| 3 | 285, 405 |
| 5 | 95, 135 |
| 19, 27 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 570,810 By Matching Biggest Common Factor Method
Now, list down the factors of 570
:1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 570,810 . The biggest common factor number is the GCF number.
So the greatest common factor 570,810 is 30.
Lets's calculate LCM of 51,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 21828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/21828
Therefore, the GCF of Fractions 570/51,810/428 is 30/21828
Least Common Multiple of 51,428 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 51,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,428) x common factors =1 x 1 = 1
LCM(51,428) = ( 51 × 428 ) / 1
LCM(51,428) = 21828 / 1
LCM(51,428) = 21828
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 570/51, 810/428
1. What is the HCF of 570,810?
The HCF of 570,810 is 30
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 570/51, 810/428?
Answer: GCF of Numerators as per given numbers 570/51, 810/428 is
GCF of Numerators i.e. for 570,810 is 30
LCM of denominators i.e. for 51,428 is 21828.
Thus, GCF of Fractions is 30/21828.Finally, GCF of Fractions for 570/51, 810/428 is 30/21828.