GCF of 2418/228, 2589/8667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2418/228, 2589/8667 i.e 3/658692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2418/228, 2589/8667.
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 2418/228,2589/8667?
Given fractions are 2418/228,2589/8667
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 2418/228,2589/8667, numerators are 2418,2589
Denominators are 228,8667
The GCF of 2418,2589 is 3 .
LCM of 228,8667 is 658692.
The greatest common factor of 2418/228,2589/8667 = [GCF of 2418,2589]/[LCM of 228,8667]= 3/658692
Therefore, the GCF of 2418/228,2589/8667 is 3/658692.
To find the highest common factor of 2418,2589, we have to find the factors of both numbers and list the highest common factor.
The factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418
The factors of 2589 are 1, 3, 863, 2589
The HCF of 2418,2589 is 3.
Lets's calculate GCF of 2418,2589
| 3 | 2418, 2589 |
| 806, 863 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2418,2589 By Matching Biggest Common Factor Method
Now, list down the factors of 2418
:1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418
Now, list down the factors of 2589
:1,3,863,2589
Greatest Common Factor
We found the factors 2418,2589 . The biggest common factor number is the GCF number.
So the greatest common factor 2418,2589 is 3.
Lets's calculate LCM of 228,8667
| 3 | 228, 8667 |
| 76, 2889 |
∴ So the LCM of the given numbers is 3 x 76 x 2889 = 658692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/658692
Therefore, the GCF of Fractions 2418/228,2589/8667 is 3/658692
Least Common Multiple of 228,8667 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 228,8667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,8667) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,8667) x common factors =3 x 1 = 3
LCM(228,8667) = ( 228 × 8667 ) / 3
LCM(228,8667) = 1976076 / 3
LCM(228,8667) = 658692
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FAQs on GCF of Fractions of 2418/228, 2589/8667
1. What is the HCF of 2418,2589?
The HCF of 2418,2589 is 3
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 2418/228, 2589/8667?
Answer: GCF of Numerators as per given numbers 2418/228, 2589/8667 is
GCF of Numerators i.e. for 2418,2589 is 3
LCM of denominators i.e. for 228,8667 is 658692.
Thus, GCF of Fractions is 3/658692.Finally, GCF of Fractions for 2418/228, 2589/8667 is 3/658692.