GCF of 5400/993, 6984/4804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5400/993, 6984/4804 i.e 72/4770372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5400/993, 6984/4804.
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 5400/993,6984/4804?
Given fractions are 5400/993,6984/4804
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 5400/993,6984/4804, numerators are 5400,6984
Denominators are 993,4804
The GCF of 5400,6984 is 72 .
LCM of 993,4804 is 4770372.
The greatest common factor of 5400/993,6984/4804 = [GCF of 5400,6984]/[LCM of 993,4804]= 72/4770372
Therefore, the GCF of 5400/993,6984/4804 is 72/4770372.
To find the highest common factor of 5400,6984, we have to find the factors of both numbers and list the highest common factor.
The factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400
The factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984
The HCF of 5400,6984 is 72.
Lets's calculate GCF of 5400,6984
| 2 | 5400, 6984 |
| 2 | 2700, 3492 |
| 2 | 1350, 1746 |
| 3 | 675, 873 |
| 3 | 225, 291 |
| 75, 97 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor of 5400,6984 By Matching Biggest Common Factor Method
Now, list down the factors of 5400
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400
Now, list down the factors of 6984
:1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Greatest Common Factor
We found the factors 5400,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 5400,6984 is 72.
Lets's calculate LCM of 993,4804
Given numbers has no common factors except 1. So, there LCM is their product i.e 4770372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/4770372
Therefore, the GCF of Fractions 5400/993,6984/4804 is 72/4770372
Least Common Multiple of 993,4804 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 993,4804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,4804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,4804) x common factors =1 x 1 = 1
LCM(993,4804) = ( 993 × 4804 ) / 1
LCM(993,4804) = 4770372 / 1
LCM(993,4804) = 4770372
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FAQs on GCF of Fractions of 5400/993, 6984/4804
1. What is the HCF of 5400,6984?
The HCF of 5400,6984 is 72
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 5400/993, 6984/4804?
Answer: GCF of Numerators as per given numbers 5400/993, 6984/4804 is
GCF of Numerators i.e. for 5400,6984 is 72
LCM of denominators i.e. for 993,4804 is 4770372.
Thus, GCF of Fractions is 72/4770372.Finally, GCF of Fractions for 5400/993, 6984/4804 is 72/4770372.