GCF of 567/57, 384/3639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 567/57, 384/3639 i.e 3/69141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/57, 384/3639.
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 567/57,384/3639?
Given fractions are 567/57,384/3639
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 567/57,384/3639, numerators are 567,384
Denominators are 57,3639
The GCF of 567,384 is 3 .
LCM of 57,3639 is 69141.
The greatest common factor of 567/57,384/3639 = [GCF of 567,384]/[LCM of 57,3639]= 3/69141
Therefore, the GCF of 567/57,384/3639 is 3/69141.
To find the highest common factor of 567,384, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The HCF of 567,384 is 3.
Lets's calculate GCF of 567,384
| 3 | 567, 384 |
| 189, 128 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 567,384 By Matching Biggest Common Factor Method
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 567,384 . The biggest common factor number is the GCF number.
So the greatest common factor 567,384 is 3.
Lets's calculate LCM of 57,3639
| 3 | 57, 3639 |
| 19, 1213 |
∴ So the LCM of the given numbers is 3 x 19 x 1213 = 69141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69141
Therefore, the GCF of Fractions 567/57,384/3639 is 3/69141
Least Common Multiple of 57,3639 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 57,3639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,3639) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,3639) x common factors =3 x 1 = 3
LCM(57,3639) = ( 57 × 3639 ) / 3
LCM(57,3639) = 207423 / 3
LCM(57,3639) = 69141
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 567/57, 384/3639
1. What is the HCF of 567,384?
The HCF of 567,384 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 567/57, 384/3639?
Answer: GCF of Numerators as per given numbers 567/57, 384/3639 is
GCF of Numerators i.e. for 567,384 is 3
LCM of denominators i.e. for 57,3639 is 69141.
Thus, GCF of Fractions is 3/69141.Finally, GCF of Fractions for 567/57, 384/3639 is 3/69141.