GCF of 783/288, 3240/959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 783/288, 3240/959 i.e 27/276192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/288, 3240/959.
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 783/288,3240/959?
Given fractions are 783/288,3240/959
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 783/288,3240/959, numerators are 783,3240
Denominators are 288,959
The GCF of 783,3240 is 27 .
LCM of 288,959 is 276192.
The greatest common factor of 783/288,3240/959 = [GCF of 783,3240]/[LCM of 288,959]= 27/276192
Therefore, the GCF of 783/288,3240/959 is 27/276192.
To find the highest common factor of 783,3240, we have to find the factors of both numbers and list the highest common factor.
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240
The HCF of 783,3240 is 27.
Lets's calculate GCF of 783,3240
| 3 | 783, 3240 |
| 3 | 261, 1080 |
| 3 | 87, 360 |
| 29, 120 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 783,3240 By Matching Biggest Common Factor Method
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Now, list down the factors of 3240
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,270,324,360,405,540,648,810,1080,1620,3240
Greatest Common Factor
We found the factors 783,3240 . The biggest common factor number is the GCF number.
So the greatest common factor 783,3240 is 27.
Lets's calculate LCM of 288,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 276192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/276192
Therefore, the GCF of Fractions 783/288,3240/959 is 27/276192
Least Common Multiple of 288,959 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 288,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,959) x common factors =1 x 1 = 1
LCM(288,959) = ( 288 × 959 ) / 1
LCM(288,959) = 276192 / 1
LCM(288,959) = 276192
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 783/288, 3240/959
1. What is the HCF of 783,3240?
The HCF of 783,3240 is 27
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 783/288, 3240/959?
Answer: GCF of Numerators as per given numbers 783/288, 3240/959 is
GCF of Numerators i.e. for 783,3240 is 27
LCM of denominators i.e. for 288,959 is 276192.
Thus, GCF of Fractions is 27/276192.Finally, GCF of Fractions for 783/288, 3240/959 is 27/276192.