GCF of 2331/821, 2781/1985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2331/821, 2781/1985 i.e 9/1629685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2331/821, 2781/1985.
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 2331/821,2781/1985?
Given fractions are 2331/821,2781/1985
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 2331/821,2781/1985, numerators are 2331,2781
Denominators are 821,1985
The GCF of 2331,2781 is 9 .
LCM of 821,1985 is 1629685.
The greatest common factor of 2331/821,2781/1985 = [GCF of 2331,2781]/[LCM of 821,1985]= 9/1629685
Therefore, the GCF of 2331/821,2781/1985 is 9/1629685.
To find the highest common factor of 2331,2781, we have to find the factors of both numbers and list the highest common factor.
The factors of 2331 are 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331
The factors of 2781 are 1, 3, 9, 27, 103, 309, 927, 2781
The HCF of 2331,2781 is 9.
Lets's calculate GCF of 2331,2781
| 3 | 2331, 2781 |
| 3 | 777, 927 |
| 259, 309 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2331,2781 By Matching Biggest Common Factor Method
Now, list down the factors of 2331
:1,3,7,9,21,37,63,111,259,333,777,2331
Now, list down the factors of 2781
:1,3,9,27,103,309,927,2781
Greatest Common Factor
We found the factors 2331,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 2331,2781 is 9.
Lets's calculate LCM of 821,1985
Given numbers has no common factors except 1. So, there LCM is their product i.e 1629685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1629685
Therefore, the GCF of Fractions 2331/821,2781/1985 is 9/1629685
Least Common Multiple of 821,1985 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 821,1985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,1985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,1985) x common factors =1 x 1 = 1
LCM(821,1985) = ( 821 × 1985 ) / 1
LCM(821,1985) = 1629685 / 1
LCM(821,1985) = 1629685
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FAQs on GCF of Fractions of 2331/821, 2781/1985
1. What is the HCF of 2331,2781?
The HCF of 2331,2781 is 9
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 2331/821, 2781/1985?
Answer: GCF of Numerators as per given numbers 2331/821, 2781/1985 is
GCF of Numerators i.e. for 2331,2781 is 9
LCM of denominators i.e. for 821,1985 is 1629685.
Thus, GCF of Fractions is 9/1629685.Finally, GCF of Fractions for 2331/821, 2781/1985 is 9/1629685.