GCF of 4503/116, 5724/6819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4503/116, 5724/6819 i.e 3/791004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4503/116, 5724/6819.
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 4503/116,5724/6819?
Given fractions are 4503/116,5724/6819
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 4503/116,5724/6819, numerators are 4503,5724
Denominators are 116,6819
The GCF of 4503,5724 is 3 .
LCM of 116,6819 is 791004.
The greatest common factor of 4503/116,5724/6819 = [GCF of 4503,5724]/[LCM of 116,6819]= 3/791004
Therefore, the GCF of 4503/116,5724/6819 is 3/791004.
To find the highest common factor of 4503,5724, we have to find the factors of both numbers and list the highest common factor.
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724
The HCF of 4503,5724 is 3.
Lets's calculate GCF of 4503,5724
| 3 | 4503, 5724 |
| 1501, 1908 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4503,5724 By Matching Biggest Common Factor Method
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Now, list down the factors of 5724
:1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Greatest Common Factor
We found the factors 4503,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 4503,5724 is 3.
Lets's calculate LCM of 116,6819
Given numbers has no common factors except 1. So, there LCM is their product i.e 791004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/791004
Therefore, the GCF of Fractions 4503/116,5724/6819 is 3/791004
Least Common Multiple of 116,6819 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 116,6819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,6819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,6819) x common factors =1 x 1 = 1
LCM(116,6819) = ( 116 × 6819 ) / 1
LCM(116,6819) = 791004 / 1
LCM(116,6819) = 791004
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4503/116, 5724/6819
1. What is the HCF of 4503,5724?
The HCF of 4503,5724 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 4503/116, 5724/6819?
Answer: GCF of Numerators as per given numbers 4503/116, 5724/6819 is
GCF of Numerators i.e. for 4503,5724 is 3
LCM of denominators i.e. for 116,6819 is 791004.
Thus, GCF of Fractions is 3/791004.Finally, GCF of Fractions for 4503/116, 5724/6819 is 3/791004.