GCF of 2664/735, 1839/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2664/735, 1839/8109 i.e 3/1986705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2664/735, 1839/8109.
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 2664/735,1839/8109?
Given fractions are 2664/735,1839/8109
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 2664/735,1839/8109, numerators are 2664,1839
Denominators are 735,8109
The GCF of 2664,1839 is 3 .
LCM of 735,8109 is 1986705.
The greatest common factor of 2664/735,1839/8109 = [GCF of 2664,1839]/[LCM of 735,8109]= 3/1986705
Therefore, the GCF of 2664/735,1839/8109 is 3/1986705.
To find the highest common factor of 2664,1839, we have to find the factors of both numbers and list the highest common factor.
The factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664
The factors of 1839 are 1, 3, 613, 1839
The HCF of 2664,1839 is 3.
Lets's calculate GCF of 2664,1839
| 3 | 2664, 1839 |
| 888, 613 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2664,1839 By Matching Biggest Common Factor Method
Now, list down the factors of 2664
:1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Now, list down the factors of 1839
:1,3,613,1839
Greatest Common Factor
We found the factors 2664,1839 . The biggest common factor number is the GCF number.
So the greatest common factor 2664,1839 is 3.
Lets's calculate LCM of 735,8109
| 3 | 735, 8109 |
| 245, 2703 |
∴ So the LCM of the given numbers is 3 x 245 x 2703 = 1986705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1986705
Therefore, the GCF of Fractions 2664/735,1839/8109 is 3/1986705
Least Common Multiple of 735,8109 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 735,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,8109) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(735,8109) x common factors =3 x 1 = 3
LCM(735,8109) = ( 735 × 8109 ) / 3
LCM(735,8109) = 5960115 / 3
LCM(735,8109) = 1986705
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FAQs on GCF of Fractions of 2664/735, 1839/8109
1. What is the HCF of 2664,1839?
The HCF of 2664,1839 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 2664/735, 1839/8109?
Answer: GCF of Numerators as per given numbers 2664/735, 1839/8109 is
GCF of Numerators i.e. for 2664,1839 is 3
LCM of denominators i.e. for 735,8109 is 1986705.
Thus, GCF of Fractions is 3/1986705.Finally, GCF of Fractions for 2664/735, 1839/8109 is 3/1986705.