GCF of 3179/819, 7920/5779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3179/819, 7920/5779 i.e 11/4733001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3179/819, 7920/5779.
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 3179/819,7920/5779?
Given fractions are 3179/819,7920/5779
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 3179/819,7920/5779, numerators are 3179,7920
Denominators are 819,5779
The GCF of 3179,7920 is 11 .
LCM of 819,5779 is 4733001.
The greatest common factor of 3179/819,7920/5779 = [GCF of 3179,7920]/[LCM of 819,5779]= 11/4733001
Therefore, the GCF of 3179/819,7920/5779 is 11/4733001.
To find the highest common factor of 3179,7920, we have to find the factors of both numbers and list the highest common factor.
The factors of 3179 are 1, 11, 17, 187, 289, 3179
The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920
The HCF of 3179,7920 is 11.
Lets's calculate GCF of 3179,7920
| 11 | 3179, 7920 |
| 289, 720 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3179,7920 By Matching Biggest Common Factor Method
Now, list down the factors of 3179
:1,11,17,187,289,3179
Now, list down the factors of 7920
:1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920
Greatest Common Factor
We found the factors 3179,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 3179,7920 is 11.
Lets's calculate LCM of 819,5779
Given numbers has no common factors except 1. So, there LCM is their product i.e 4733001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4733001
Therefore, the GCF of Fractions 3179/819,7920/5779 is 11/4733001
Least Common Multiple of 819,5779 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 819,5779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,5779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,5779) x common factors =1 x 1 = 1
LCM(819,5779) = ( 819 × 5779 ) / 1
LCM(819,5779) = 4733001 / 1
LCM(819,5779) = 4733001
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3179/819, 7920/5779
1. What is the HCF of 3179,7920?
The HCF of 3179,7920 is 11
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 3179/819, 7920/5779?
Answer: GCF of Numerators as per given numbers 3179/819, 7920/5779 is
GCF of Numerators i.e. for 3179,7920 is 11
LCM of denominators i.e. for 819,5779 is 4733001.
Thus, GCF of Fractions is 11/4733001.Finally, GCF of Fractions for 3179/819, 7920/5779 is 11/4733001.