GCF of 2331/451, 6867/5699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2331/451, 6867/5699 i.e 63/62689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2331/451, 6867/5699.
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 2331/451,6867/5699?
Given fractions are 2331/451,6867/5699
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 2331/451,6867/5699, numerators are 2331,6867
Denominators are 451,5699
The GCF of 2331,6867 is 63 .
LCM of 451,5699 is 62689.
The greatest common factor of 2331/451,6867/5699 = [GCF of 2331,6867]/[LCM of 451,5699]= 63/62689
Therefore, the GCF of 2331/451,6867/5699 is 63/62689.
To find the highest common factor of 2331,6867, 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 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The HCF of 2331,6867 is 63.
Lets's calculate GCF of 2331,6867
| 3 | 2331, 6867 |
| 3 | 777, 2289 |
| 7 | 259, 763 |
| 37, 109 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 2331,6867 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 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Greatest Common Factor
We found the factors 2331,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 2331,6867 is 63.
Lets's calculate LCM of 451,5699
| 41 | 451, 5699 |
| 11, 139 |
∴ So the LCM of the given numbers is 41 x 11 x 139 = 62689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/62689
Therefore, the GCF of Fractions 2331/451,6867/5699 is 63/62689
Least Common Multiple of 451,5699 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 451,5699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,5699) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(451,5699) x common factors =41 x 1 = 41
LCM(451,5699) = ( 451 × 5699 ) / 41
LCM(451,5699) = 2570249 / 41
LCM(451,5699) = 62689
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FAQs on GCF of Fractions of 2331/451, 6867/5699
1. What is the HCF of 2331,6867?
The HCF of 2331,6867 is 63
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 2331/451, 6867/5699?
Answer: GCF of Numerators as per given numbers 2331/451, 6867/5699 is
GCF of Numerators i.e. for 2331,6867 is 63
LCM of denominators i.e. for 451,5699 is 62689.
Thus, GCF of Fractions is 63/62689.Finally, GCF of Fractions for 2331/451, 6867/5699 is 63/62689.