GCF of 3885/664, 1944/2075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3885/664, 1944/2075 i.e 3/16600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3885/664, 1944/2075.
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 3885/664,1944/2075?
Given fractions are 3885/664,1944/2075
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 3885/664,1944/2075, numerators are 3885,1944
Denominators are 664,2075
The GCF of 3885,1944 is 3 .
LCM of 664,2075 is 16600.
The greatest common factor of 3885/664,1944/2075 = [GCF of 3885,1944]/[LCM of 664,2075]= 3/16600
Therefore, the GCF of 3885/664,1944/2075 is 3/16600.
To find the highest common factor of 3885,1944, we have to find the factors of both numbers and list the highest common factor.
The factors of 3885 are 1, 3, 5, 7, 15, 21, 35, 37, 105, 111, 185, 259, 555, 777, 1295, 3885
The factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944
The HCF of 3885,1944 is 3.
Lets's calculate GCF of 3885,1944
| 3 | 3885, 1944 |
| 1295, 648 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3885,1944 By Matching Biggest Common Factor Method
Now, list down the factors of 3885
:1,3,5,7,15,21,35,37,105,111,185,259,555,777,1295,3885
Now, list down the factors of 1944
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,972,1944
Greatest Common Factor
We found the factors 3885,1944 . The biggest common factor number is the GCF number.
So the greatest common factor 3885,1944 is 3.
Lets's calculate LCM of 664,2075
| 83 | 664, 2075 |
| 8, 25 |
∴ So the LCM of the given numbers is 83 x 8 x 25 = 16600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16600
Therefore, the GCF of Fractions 3885/664,1944/2075 is 3/16600
Least Common Multiple of 664,2075 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 664,2075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,2075) = 83
common factors(in case of two or more numbers have common factors) = 1
GCF(664,2075) x common factors =83 x 1 = 83
LCM(664,2075) = ( 664 × 2075 ) / 83
LCM(664,2075) = 1377800 / 83
LCM(664,2075) = 16600
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FAQs on GCF of Fractions of 3885/664, 1944/2075
1. What is the HCF of 3885,1944?
The HCF of 3885,1944 is 3
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 3885/664, 1944/2075?
Answer: GCF of Numerators as per given numbers 3885/664, 1944/2075 is
GCF of Numerators i.e. for 3885,1944 is 3
LCM of denominators i.e. for 664,2075 is 16600.
Thus, GCF of Fractions is 3/16600.Finally, GCF of Fractions for 3885/664, 1944/2075 is 3/16600.