GCF of 1814/958, 6289/3866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1814/958, 6289/3866 i.e 1/1851814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1814/958, 6289/3866.
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 1814/958,6289/3866?
Given fractions are 1814/958,6289/3866
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 1814/958,6289/3866, numerators are 1814,6289
Denominators are 958,3866
The GCF of 1814,6289 is 1 .
LCM of 958,3866 is 1851814.
The greatest common factor of 1814/958,6289/3866 = [GCF of 1814,6289]/[LCM of 958,3866]= 1/1851814
Therefore, the GCF of 1814/958,6289/3866 is 1/1851814.
To find the highest common factor of 1814,6289, we have to find the factors of both numbers and list the highest common factor.
The factors of 1814 are 1, 2, 907, 1814
The factors of 6289 are 1, 19, 331, 6289
The HCF of 1814,6289 is 1.
Lets's calculate GCF of 1814,6289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1814,6289 By Matching Biggest Common Factor Method
Now, list down the factors of 1814
:1,2,907,1814
Now, list down the factors of 6289
:1,19,331,6289
Greatest Common Factor
We found the factors 1814,6289 . The biggest common factor number is the GCF number.
So the greatest common factor 1814,6289 is 1.
Lets's calculate LCM of 958,3866
| 2 | 958, 3866 |
| 479, 1933 |
∴ So the LCM of the given numbers is 2 x 479 x 1933 = 1851814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1851814
Therefore, the GCF of Fractions 1814/958,6289/3866 is 1/1851814
Least Common Multiple of 958,3866 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 958,3866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,3866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,3866) x common factors =2 x 1 = 2
LCM(958,3866) = ( 958 × 3866 ) / 2
LCM(958,3866) = 3703628 / 2
LCM(958,3866) = 1851814
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FAQs on GCF of Fractions of 1814/958, 6289/3866
1. What is the HCF of 1814,6289?
The HCF of 1814,6289 is 1
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 1814/958, 6289/3866?
Answer: GCF of Numerators as per given numbers 1814/958, 6289/3866 is
GCF of Numerators i.e. for 1814,6289 is 1
LCM of denominators i.e. for 958,3866 is 1851814.
Thus, GCF of Fractions is 1/1851814.Finally, GCF of Fractions for 1814/958, 6289/3866 is 1/1851814.