GCF of 8523/240, 3219/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8523/240, 3219/120 i.e 3/240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8523/240, 3219/120.
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 8523/240,3219/120?
Given fractions are 8523/240,3219/120
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 8523/240,3219/120, numerators are 8523,3219
Denominators are 240,120
The GCF of 8523,3219 is 3 .
LCM of 240,120 is 240.
The greatest common factor of 8523/240,3219/120 = [GCF of 8523,3219]/[LCM of 240,120]= 3/240
Therefore, the GCF of 8523/240,3219/120 is 3/240.
To find the highest common factor of 8523,3219, we have to find the factors of both numbers and list the highest common factor.
The factors of 8523 are 1, 3, 9, 947, 2841, 8523
The factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219
The HCF of 8523,3219 is 3.
Lets's calculate GCF of 8523,3219
| 3 | 8523, 3219 |
| 2841, 1073 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8523,3219 By Matching Biggest Common Factor Method
Now, list down the factors of 8523
:1,3,9,947,2841,8523
Now, list down the factors of 3219
:1,3,29,37,87,111,1073,3219
Greatest Common Factor
We found the factors 8523,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 8523,3219 is 3.
Lets's calculate LCM of 240,120
| 2 | 240, 120 |
| 2 | 120, 60 |
| 2 | 30, 60 |
| 3 | 15, 30 |
| 5 | 5, 10 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 2 = 240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/240
Therefore, the GCF of Fractions 8523/240,3219/120 is 3/240
Least Common Multiple of 240,120 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 240,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,120) = 120
common factors(in case of two or more numbers have common factors) = 1
GCF(240,120) x common factors =120 x 1 = 120
LCM(240,120) = ( 240 × 120 ) / 120
LCM(240,120) = 28800 / 120
LCM(240,120) = 240
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8523/240, 3219/120
1. What is the HCF of 8523,3219?
The HCF of 8523,3219 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 8523/240, 3219/120?
Answer: GCF of Numerators as per given numbers 8523/240, 3219/120 is
GCF of Numerators i.e. for 8523,3219 is 3
LCM of denominators i.e. for 240,120 is 240.
Thus, GCF of Fractions is 3/240.Finally, GCF of Fractions for 8523/240, 3219/120 is 3/240.