GCF of 2416/417, 1901/2004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2416/417, 1901/2004 i.e 1/278556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2416/417, 1901/2004.
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 2416/417,1901/2004?
Given fractions are 2416/417,1901/2004
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 2416/417,1901/2004, numerators are 2416,1901
Denominators are 417,2004
The GCF of 2416,1901 is 1 .
LCM of 417,2004 is 278556.
The greatest common factor of 2416/417,1901/2004 = [GCF of 2416,1901]/[LCM of 417,2004]= 1/278556
Therefore, the GCF of 2416/417,1901/2004 is 1/278556.
To find the highest common factor of 2416,1901, we have to find the factors of both numbers and list the highest common factor.
The factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416
The factors of 1901 are 1, 1901
The HCF of 2416,1901 is 1.
Lets's calculate GCF of 2416,1901
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2416,1901 By Matching Biggest Common Factor Method
Now, list down the factors of 2416
:1,2,4,8,16,151,302,604,1208,2416
Now, list down the factors of 1901
:1,1901
Greatest Common Factor
We found the factors 2416,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 2416,1901 is 1.
Lets's calculate LCM of 417,2004
| 3 | 417, 2004 |
| 139, 668 |
∴ So the LCM of the given numbers is 3 x 139 x 668 = 278556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278556
Therefore, the GCF of Fractions 2416/417,1901/2004 is 1/278556
Least Common Multiple of 417,2004 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 417,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,2004) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,2004) x common factors =3 x 1 = 3
LCM(417,2004) = ( 417 × 2004 ) / 3
LCM(417,2004) = 835668 / 3
LCM(417,2004) = 278556
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FAQs on GCF of Fractions of 2416/417, 1901/2004
1. What is the HCF of 2416,1901?
The HCF of 2416,1901 is 1
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 2416/417, 1901/2004?
Answer: GCF of Numerators as per given numbers 2416/417, 1901/2004 is
GCF of Numerators i.e. for 2416,1901 is 1
LCM of denominators i.e. for 417,2004 is 278556.
Thus, GCF of Fractions is 1/278556.Finally, GCF of Fractions for 2416/417, 1901/2004 is 1/278556.