GCF of 2400/567, 4155/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2400/567, 4155/854 i.e 15/69174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2400/567, 4155/854.
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 2400/567,4155/854?
Given fractions are 2400/567,4155/854
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 2400/567,4155/854, numerators are 2400,4155
Denominators are 567,854
The GCF of 2400,4155 is 15 .
LCM of 567,854 is 69174.
The greatest common factor of 2400/567,4155/854 = [GCF of 2400,4155]/[LCM of 567,854]= 15/69174
Therefore, the GCF of 2400/567,4155/854 is 15/69174.
To find the highest common factor of 2400,4155, we have to find the factors of both numbers and list the highest common factor.
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
The factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155
The HCF of 2400,4155 is 15.
Lets's calculate GCF of 2400,4155
| 3 | 2400, 4155 |
| 5 | 800, 1385 |
| 160, 277 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2400,4155 By Matching Biggest Common Factor Method
Now, list down the factors of 2400
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400
Now, list down the factors of 4155
:1,3,5,15,277,831,1385,4155
Greatest Common Factor
We found the factors 2400,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 2400,4155 is 15.
Lets's calculate LCM of 567,854
| 7 | 567, 854 |
| 81, 122 |
∴ So the LCM of the given numbers is 7 x 81 x 122 = 69174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/69174
Therefore, the GCF of Fractions 2400/567,4155/854 is 15/69174
Least Common Multiple of 567,854 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 567,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,854) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,854) x common factors =7 x 1 = 7
LCM(567,854) = ( 567 × 854 ) / 7
LCM(567,854) = 484218 / 7
LCM(567,854) = 69174
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FAQs on GCF of Fractions of 2400/567, 4155/854
1. What is the HCF of 2400,4155?
The HCF of 2400,4155 is 15
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 2400/567, 4155/854?
Answer: GCF of Numerators as per given numbers 2400/567, 4155/854 is
GCF of Numerators i.e. for 2400,4155 is 15
LCM of denominators i.e. for 567,854 is 69174.
Thus, GCF of Fractions is 15/69174.Finally, GCF of Fractions for 2400/567, 4155/854 is 15/69174.