GCF of 2793/713, 2331/279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2793/713, 2331/279 i.e 21/6417 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2793/713, 2331/279.
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 2793/713,2331/279?
Given fractions are 2793/713,2331/279
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 2793/713,2331/279, numerators are 2793,2331
Denominators are 713,279
The GCF of 2793,2331 is 21 .
LCM of 713,279 is 6417.
The greatest common factor of 2793/713,2331/279 = [GCF of 2793,2331]/[LCM of 713,279]= 21/6417
Therefore, the GCF of 2793/713,2331/279 is 21/6417.
To find the highest common factor of 2793,2331, we have to find the factors of both numbers and list the highest common factor.
The factors of 2793 are 1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793
The factors of 2331 are 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331
The HCF of 2793,2331 is 21.
Lets's calculate GCF of 2793,2331
| 3 | 2793, 2331 |
| 7 | 931, 777 |
| 133, 111 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 2793,2331 By Matching Biggest Common Factor Method
Now, list down the factors of 2793
:1,3,7,19,21,49,57,133,147,399,931,2793
Now, list down the factors of 2331
:1,3,7,9,21,37,63,111,259,333,777,2331
Greatest Common Factor
We found the factors 2793,2331 . The biggest common factor number is the GCF number.
So the greatest common factor 2793,2331 is 21.
Lets's calculate LCM of 713,279
| 31 | 713, 279 |
| 23, 9 |
∴ So the LCM of the given numbers is 31 x 23 x 9 = 6417
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/6417
Therefore, the GCF of Fractions 2793/713,2331/279 is 21/6417
Least Common Multiple of 713,279 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 713,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,279) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(713,279) x common factors =31 x 1 = 31
LCM(713,279) = ( 713 × 279 ) / 31
LCM(713,279) = 198927 / 31
LCM(713,279) = 6417
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FAQs on GCF of Fractions of 2793/713, 2331/279
1. What is the HCF of 2793,2331?
The HCF of 2793,2331 is 21
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 2793/713, 2331/279?
Answer: GCF of Numerators as per given numbers 2793/713, 2331/279 is
GCF of Numerators i.e. for 2793,2331 is 21
LCM of denominators i.e. for 713,279 is 6417.
Thus, GCF of Fractions is 21/6417.Finally, GCF of Fractions for 2793/713, 2331/279 is 21/6417.