GCF of 4155/512, 1900/4319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4155/512, 1900/4319 i.e 5/2211328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4155/512, 1900/4319.
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 4155/512,1900/4319?
Given fractions are 4155/512,1900/4319
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 4155/512,1900/4319, numerators are 4155,1900
Denominators are 512,4319
The GCF of 4155,1900 is 5 .
LCM of 512,4319 is 2211328.
The greatest common factor of 4155/512,1900/4319 = [GCF of 4155,1900]/[LCM of 512,4319]= 5/2211328
Therefore, the GCF of 4155/512,1900/4319 is 5/2211328.
To find the highest common factor of 4155,1900, we have to find the factors of both numbers and list the highest common factor.
The factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155
The factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900
The HCF of 4155,1900 is 5.
Lets's calculate GCF of 4155,1900
| 5 | 4155, 1900 |
| 831, 380 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4155,1900 By Matching Biggest Common Factor Method
Now, list down the factors of 4155
:1,3,5,15,277,831,1385,4155
Now, list down the factors of 1900
:1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Greatest Common Factor
We found the factors 4155,1900 . The biggest common factor number is the GCF number.
So the greatest common factor 4155,1900 is 5.
Lets's calculate LCM of 512,4319
Given numbers has no common factors except 1. So, there LCM is their product i.e 2211328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2211328
Therefore, the GCF of Fractions 4155/512,1900/4319 is 5/2211328
Least Common Multiple of 512,4319 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 512,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,4319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,4319) x common factors =1 x 1 = 1
LCM(512,4319) = ( 512 × 4319 ) / 1
LCM(512,4319) = 2211328 / 1
LCM(512,4319) = 2211328
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FAQs on GCF of Fractions of 4155/512, 1900/4319
1. What is the HCF of 4155,1900?
The HCF of 4155,1900 is 5
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 4155/512, 1900/4319?
Answer: GCF of Numerators as per given numbers 4155/512, 1900/4319 is
GCF of Numerators i.e. for 4155,1900 is 5
LCM of denominators i.e. for 512,4319 is 2211328.
Thus, GCF of Fractions is 5/2211328.Finally, GCF of Fractions for 4155/512, 1900/4319 is 5/2211328.