GCF of 5400/856, 2884/1074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5400/856, 2884/1074 i.e 4/459672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5400/856, 2884/1074.
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 5400/856,2884/1074?
Given fractions are 5400/856,2884/1074
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 5400/856,2884/1074, numerators are 5400,2884
Denominators are 856,1074
The GCF of 5400,2884 is 4 .
LCM of 856,1074 is 459672.
The greatest common factor of 5400/856,2884/1074 = [GCF of 5400,2884]/[LCM of 856,1074]= 4/459672
Therefore, the GCF of 5400/856,2884/1074 is 4/459672.
To find the highest common factor of 5400,2884, 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 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884
The HCF of 5400,2884 is 4.
Lets's calculate GCF of 5400,2884
| 2 | 5400, 2884 |
| 2 | 2700, 1442 |
| 1350, 721 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5400,2884 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 2884
:1,2,4,7,14,28,103,206,412,721,1442,2884
Greatest Common Factor
We found the factors 5400,2884 . The biggest common factor number is the GCF number.
So the greatest common factor 5400,2884 is 4.
Lets's calculate LCM of 856,1074
| 2 | 856, 1074 |
| 428, 537 |
∴ So the LCM of the given numbers is 2 x 428 x 537 = 459672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/459672
Therefore, the GCF of Fractions 5400/856,2884/1074 is 4/459672
Least Common Multiple of 856,1074 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 856,1074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,1074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(856,1074) x common factors =2 x 1 = 2
LCM(856,1074) = ( 856 × 1074 ) / 2
LCM(856,1074) = 919344 / 2
LCM(856,1074) = 459672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5400/856, 2884/1074
1. What is the HCF of 5400,2884?
The HCF of 5400,2884 is 4
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 5400/856, 2884/1074?
Answer: GCF of Numerators as per given numbers 5400/856, 2884/1074 is
GCF of Numerators i.e. for 5400,2884 is 4
LCM of denominators i.e. for 856,1074 is 459672.
Thus, GCF of Fractions is 4/459672.Finally, GCF of Fractions for 5400/856, 2884/1074 is 4/459672.