GCF of 114/226, 589/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 114/226, 589/168 i.e 19/18984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 114/226, 589/168.
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 114/226,589/168?
Given fractions are 114/226,589/168
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 114/226,589/168, numerators are 114,589
Denominators are 226,168
The GCF of 114,589 is 19 .
LCM of 226,168 is 18984.
The greatest common factor of 114/226,589/168 = [GCF of 114,589]/[LCM of 226,168]= 19/18984
Therefore, the GCF of 114/226,589/168 is 19/18984.
To find the highest common factor of 114,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The factors of 589 are 1, 19, 31, 589
The HCF of 114,589 is 19.
Lets's calculate GCF of 114,589
| 19 | 114, 589 |
| 6, 31 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 114,589 By Matching Biggest Common Factor Method
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 114,589 . The biggest common factor number is the GCF number.
So the greatest common factor 114,589 is 19.
Lets's calculate LCM of 226,168
| 2 | 226, 168 |
| 113, 84 |
∴ So the LCM of the given numbers is 2 x 113 x 84 = 18984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/18984
Therefore, the GCF of Fractions 114/226,589/168 is 19/18984
Least Common Multiple of 226,168 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 226,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,168) x common factors =2 x 1 = 2
LCM(226,168) = ( 226 × 168 ) / 2
LCM(226,168) = 37968 / 2
LCM(226,168) = 18984
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FAQs on GCF of Fractions of 114/226, 589/168
1. What is the HCF of 114,589?
The HCF of 114,589 is 19
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 114/226, 589/168?
Answer: GCF of Numerators as per given numbers 114/226, 589/168 is
GCF of Numerators i.e. for 114,589 is 19
LCM of denominators i.e. for 226,168 is 18984.
Thus, GCF of Fractions is 19/18984.Finally, GCF of Fractions for 114/226, 589/168 is 19/18984.