GCF of 1850/255, 1504/327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1850/255, 1504/327 i.e 2/27795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1850/255, 1504/327.
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 1850/255,1504/327?
Given fractions are 1850/255,1504/327
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 1850/255,1504/327, numerators are 1850,1504
Denominators are 255,327
The GCF of 1850,1504 is 2 .
LCM of 255,327 is 27795.
The greatest common factor of 1850/255,1504/327 = [GCF of 1850,1504]/[LCM of 255,327]= 2/27795
Therefore, the GCF of 1850/255,1504/327 is 2/27795.
To find the highest common factor of 1850,1504, we have to find the factors of both numbers and list the highest common factor.
The factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850
The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
The HCF of 1850,1504 is 2.
Lets's calculate GCF of 1850,1504
| 2 | 1850, 1504 |
| 925, 752 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1850,1504 By Matching Biggest Common Factor Method
Now, list down the factors of 1850
:1,2,5,10,25,37,50,74,185,370,925,1850
Now, list down the factors of 1504
:1,2,4,8,16,32,47,94,188,376,752,1504
Greatest Common Factor
We found the factors 1850,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 1850,1504 is 2.
Lets's calculate LCM of 255,327
| 3 | 255, 327 |
| 85, 109 |
∴ So the LCM of the given numbers is 3 x 85 x 109 = 27795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27795
Therefore, the GCF of Fractions 1850/255,1504/327 is 2/27795
Least Common Multiple of 255,327 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 255,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,327) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(255,327) x common factors =3 x 1 = 3
LCM(255,327) = ( 255 × 327 ) / 3
LCM(255,327) = 83385 / 3
LCM(255,327) = 27795
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FAQs on GCF of Fractions of 1850/255, 1504/327
1. What is the HCF of 1850,1504?
The HCF of 1850,1504 is 2
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 1850/255, 1504/327?
Answer: GCF of Numerators as per given numbers 1850/255, 1504/327 is
GCF of Numerators i.e. for 1850,1504 is 2
LCM of denominators i.e. for 255,327 is 27795.
Thus, GCF of Fractions is 2/27795.Finally, GCF of Fractions for 1850/255, 1504/327 is 2/27795.