GCF of 8743/829, 6720/6033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8743/829, 6720/6033 i.e 7/5001357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8743/829, 6720/6033.
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 8743/829,6720/6033?
Given fractions are 8743/829,6720/6033
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 8743/829,6720/6033, numerators are 8743,6720
Denominators are 829,6033
The GCF of 8743,6720 is 7 .
LCM of 829,6033 is 5001357.
The greatest common factor of 8743/829,6720/6033 = [GCF of 8743,6720]/[LCM of 829,6033]= 7/5001357
Therefore, the GCF of 8743/829,6720/6033 is 7/5001357.
To find the highest common factor of 8743,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 8743 are 1, 7, 1249, 8743
The factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720
The HCF of 8743,6720 is 7.
Lets's calculate GCF of 8743,6720
| 7 | 8743, 6720 |
| 1249, 960 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8743,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 8743
:1,7,1249,8743
Now, list down the factors of 6720
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors 8743,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 8743,6720 is 7.
Lets's calculate LCM of 829,6033
Given numbers has no common factors except 1. So, there LCM is their product i.e 5001357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5001357
Therefore, the GCF of Fractions 8743/829,6720/6033 is 7/5001357
Least Common Multiple of 829,6033 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 829,6033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,6033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,6033) x common factors =1 x 1 = 1
LCM(829,6033) = ( 829 × 6033 ) / 1
LCM(829,6033) = 5001357 / 1
LCM(829,6033) = 5001357
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8743/829, 6720/6033
1. What is the HCF of 8743,6720?
The HCF of 8743,6720 is 7
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 8743/829, 6720/6033?
Answer: GCF of Numerators as per given numbers 8743/829, 6720/6033 is
GCF of Numerators i.e. for 8743,6720 is 7
LCM of denominators i.e. for 829,6033 is 5001357.
Thus, GCF of Fractions is 7/5001357.Finally, GCF of Fractions for 8743/829, 6720/6033 is 7/5001357.