GCF of 2337/818, 5643/6710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2337/818, 5643/6710 i.e 57/2744390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2337/818, 5643/6710.
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 2337/818,5643/6710?
Given fractions are 2337/818,5643/6710
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 2337/818,5643/6710, numerators are 2337,5643
Denominators are 818,6710
The GCF of 2337,5643 is 57 .
LCM of 818,6710 is 2744390.
The greatest common factor of 2337/818,5643/6710 = [GCF of 2337,5643]/[LCM of 818,6710]= 57/2744390
Therefore, the GCF of 2337/818,5643/6710 is 57/2744390.
To find the highest common factor of 2337,5643, we have to find the factors of both numbers and list the highest common factor.
The factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The HCF of 2337,5643 is 57.
Lets's calculate GCF of 2337,5643
| 3 | 2337, 5643 |
| 19 | 779, 1881 |
| 41, 99 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 2337,5643 By Matching Biggest Common Factor Method
Now, list down the factors of 2337
:1,3,19,41,57,123,779,2337
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Greatest Common Factor
We found the factors 2337,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 2337,5643 is 57.
Lets's calculate LCM of 818,6710
| 2 | 818, 6710 |
| 409, 3355 |
∴ So the LCM of the given numbers is 2 x 409 x 3355 = 2744390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/2744390
Therefore, the GCF of Fractions 2337/818,5643/6710 is 57/2744390
Least Common Multiple of 818,6710 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 818,6710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,6710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,6710) x common factors =2 x 1 = 2
LCM(818,6710) = ( 818 × 6710 ) / 2
LCM(818,6710) = 5488780 / 2
LCM(818,6710) = 2744390
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FAQs on GCF of Fractions of 2337/818, 5643/6710
1. What is the HCF of 2337,5643?
The HCF of 2337,5643 is 57
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 2337/818, 5643/6710?
Answer: GCF of Numerators as per given numbers 2337/818, 5643/6710 is
GCF of Numerators i.e. for 2337,5643 is 57
LCM of denominators i.e. for 818,6710 is 2744390.
Thus, GCF of Fractions is 57/2744390.Finally, GCF of Fractions for 2337/818, 5643/6710 is 57/2744390.