GCF of 4530/340, 7194/2018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4530/340, 7194/2018 i.e 6/343060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4530/340, 7194/2018.
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 4530/340,7194/2018?
Given fractions are 4530/340,7194/2018
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 4530/340,7194/2018, numerators are 4530,7194
Denominators are 340,2018
The GCF of 4530,7194 is 6 .
LCM of 340,2018 is 343060.
The greatest common factor of 4530/340,7194/2018 = [GCF of 4530,7194]/[LCM of 340,2018]= 6/343060
Therefore, the GCF of 4530/340,7194/2018 is 6/343060.
To find the highest common factor of 4530,7194, we have to find the factors of both numbers and list the highest common factor.
The factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530
The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194
The HCF of 4530,7194 is 6.
Lets's calculate GCF of 4530,7194
| 2 | 4530, 7194 |
| 3 | 2265, 3597 |
| 755, 1199 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4530,7194 By Matching Biggest Common Factor Method
Now, list down the factors of 4530
:1,2,3,5,6,10,15,30,151,302,453,755,906,1510,2265,4530
Now, list down the factors of 7194
:1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Greatest Common Factor
We found the factors 4530,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 4530,7194 is 6.
Lets's calculate LCM of 340,2018
| 2 | 340, 2018 |
| 170, 1009 |
∴ So the LCM of the given numbers is 2 x 170 x 1009 = 343060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/343060
Therefore, the GCF of Fractions 4530/340,7194/2018 is 6/343060
Least Common Multiple of 340,2018 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 340,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,2018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(340,2018) x common factors =2 x 1 = 2
LCM(340,2018) = ( 340 × 2018 ) / 2
LCM(340,2018) = 686120 / 2
LCM(340,2018) = 343060
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FAQs on GCF of Fractions of 4530/340, 7194/2018
1. What is the HCF of 4530,7194?
The HCF of 4530,7194 is 6
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 4530/340, 7194/2018?
Answer: GCF of Numerators as per given numbers 4530/340, 7194/2018 is
GCF of Numerators i.e. for 4530,7194 is 6
LCM of denominators i.e. for 340,2018 is 343060.
Thus, GCF of Fractions is 6/343060.Finally, GCF of Fractions for 4530/340, 7194/2018 is 6/343060.