GCF of 531/22, 675/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 531/22, 675/286 i.e 9/286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 531/22, 675/286.
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 531/22,675/286?
Given fractions are 531/22,675/286
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 531/22,675/286, numerators are 531,675
Denominators are 22,286
The GCF of 531,675 is 9 .
LCM of 22,286 is 286.
The greatest common factor of 531/22,675/286 = [GCF of 531,675]/[LCM of 22,286]= 9/286
Therefore, the GCF of 531/22,675/286 is 9/286.
To find the highest common factor of 531,675, we have to find the factors of both numbers and list the highest common factor.
The factors of 531 are 1, 3, 9, 59, 177, 531
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The HCF of 531,675 is 9.
Lets's calculate GCF of 531,675
| 3 | 531, 675 |
| 3 | 177, 225 |
| 59, 75 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 531,675 By Matching Biggest Common Factor Method
Now, list down the factors of 531
:1,3,9,59,177,531
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 531,675 . The biggest common factor number is the GCF number.
So the greatest common factor 531,675 is 9.
Lets's calculate LCM of 22,286
| 2 | 22, 286 |
| 11 | 11, 143 |
| 1, 13 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 13 = 286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/286
Therefore, the GCF of Fractions 531/22,675/286 is 9/286
Least Common Multiple of 22,286 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 22,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,286) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(22,286) x common factors =22 x 1 = 22
LCM(22,286) = ( 22 × 286 ) / 22
LCM(22,286) = 6292 / 22
LCM(22,286) = 286
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 531/22, 675/286
1. What is the HCF of 531,675?
The HCF of 531,675 is 9
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 531/22, 675/286?
Answer: GCF of Numerators as per given numbers 531/22, 675/286 is
GCF of Numerators i.e. for 531,675 is 9
LCM of denominators i.e. for 22,286 is 286.
Thus, GCF of Fractions is 9/286.Finally, GCF of Fractions for 531/22, 675/286 is 9/286.