GCF of 285/575, 3189/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 285/575, 3189/822 i.e 3/472650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/575, 3189/822.
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 285/575,3189/822?
Given fractions are 285/575,3189/822
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 285/575,3189/822, numerators are 285,3189
Denominators are 575,822
The GCF of 285,3189 is 3 .
LCM of 575,822 is 472650.
The greatest common factor of 285/575,3189/822 = [GCF of 285,3189]/[LCM of 575,822]= 3/472650
Therefore, the GCF of 285/575,3189/822 is 3/472650.
To find the highest common factor of 285,3189, we have to find the factors of both numbers and list the highest common factor.
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The factors of 3189 are 1, 3, 1063, 3189
The HCF of 285,3189 is 3.
Lets's calculate GCF of 285,3189
| 3 | 285, 3189 |
| 95, 1063 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 285,3189 By Matching Biggest Common Factor Method
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Now, list down the factors of 3189
:1,3,1063,3189
Greatest Common Factor
We found the factors 285,3189 . The biggest common factor number is the GCF number.
So the greatest common factor 285,3189 is 3.
Lets's calculate LCM of 575,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 472650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/472650
Therefore, the GCF of Fractions 285/575,3189/822 is 3/472650
Least Common Multiple of 575,822 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 575,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,822) x common factors =1 x 1 = 1
LCM(575,822) = ( 575 × 822 ) / 1
LCM(575,822) = 472650 / 1
LCM(575,822) = 472650
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FAQs on GCF of Fractions of 285/575, 3189/822
1. What is the HCF of 285,3189?
The HCF of 285,3189 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 285/575, 3189/822?
Answer: GCF of Numerators as per given numbers 285/575, 3189/822 is
GCF of Numerators i.e. for 285,3189 is 3
LCM of denominators i.e. for 575,822 is 472650.
Thus, GCF of Fractions is 3/472650.Finally, GCF of Fractions for 285/575, 3189/822 is 3/472650.