GCF of 334/18, 242/2174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 334/18, 242/2174 i.e 2/19566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/18, 242/2174.
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 334/18,242/2174?
Given fractions are 334/18,242/2174
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 334/18,242/2174, numerators are 334,242
Denominators are 18,2174
The GCF of 334,242 is 2 .
LCM of 18,2174 is 19566.
The greatest common factor of 334/18,242/2174 = [GCF of 334,242]/[LCM of 18,2174]= 2/19566
Therefore, the GCF of 334/18,242/2174 is 2/19566.
To find the highest common factor of 334,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 334 are 1, 2, 167, 334
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 334,242 is 2.
Lets's calculate GCF of 334,242
| 2 | 334, 242 |
| 167, 121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 334,242 By Matching Biggest Common Factor Method
Now, list down the factors of 334
:1,2,167,334
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 334,242 . The biggest common factor number is the GCF number.
So the greatest common factor 334,242 is 2.
Lets's calculate LCM of 18,2174
| 2 | 18, 2174 |
| 9, 1087 |
∴ So the LCM of the given numbers is 2 x 9 x 1087 = 19566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19566
Therefore, the GCF of Fractions 334/18,242/2174 is 2/19566
Least Common Multiple of 18,2174 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 18,2174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,2174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,2174) x common factors =2 x 1 = 2
LCM(18,2174) = ( 18 × 2174 ) / 2
LCM(18,2174) = 39132 / 2
LCM(18,2174) = 19566
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FAQs on GCF of Fractions of 334/18, 242/2174
1. What is the HCF of 334,242?
The HCF of 334,242 is 2
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 334/18, 242/2174?
Answer: GCF of Numerators as per given numbers 334/18, 242/2174 is
GCF of Numerators i.e. for 334,242 is 2
LCM of denominators i.e. for 18,2174 is 19566.
Thus, GCF of Fractions is 2/19566.Finally, GCF of Fractions for 334/18, 242/2174 is 2/19566.