GCF of 570/357, 306/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 570/357, 306/329 i.e 6/16779 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/357, 306/329.
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 570/357,306/329?
Given fractions are 570/357,306/329
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 570/357,306/329, numerators are 570,306
Denominators are 357,329
The GCF of 570,306 is 6 .
LCM of 357,329 is 16779.
The greatest common factor of 570/357,306/329 = [GCF of 570,306]/[LCM of 357,329]= 6/16779
Therefore, the GCF of 570/357,306/329 is 6/16779.
To find the highest common factor of 570,306, 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 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
The HCF of 570,306 is 6.
Lets's calculate GCF of 570,306
| 2 | 570, 306 |
| 3 | 285, 153 |
| 95, 51 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 570,306 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 306
:1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 570,306 . The biggest common factor number is the GCF number.
So the greatest common factor 570,306 is 6.
Lets's calculate LCM of 357,329
| 7 | 357, 329 |
| 51, 47 |
∴ So the LCM of the given numbers is 7 x 51 x 47 = 16779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/16779
Therefore, the GCF of Fractions 570/357,306/329 is 6/16779
Least Common Multiple of 357,329 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 357,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,329) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(357,329) x common factors =7 x 1 = 7
LCM(357,329) = ( 357 × 329 ) / 7
LCM(357,329) = 117453 / 7
LCM(357,329) = 16779
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FAQs on GCF of Fractions of 570/357, 306/329
1. What is the HCF of 570,306?
The HCF of 570,306 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 570/357, 306/329?
Answer: GCF of Numerators as per given numbers 570/357, 306/329 is
GCF of Numerators i.e. for 570,306 is 6
LCM of denominators i.e. for 357,329 is 16779.
Thus, GCF of Fractions is 6/16779.Finally, GCF of Fractions for 570/357, 306/329 is 6/16779.