GCF of 6138/609, 6193/3018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6138/609, 6193/3018 i.e 11/612654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6138/609, 6193/3018.
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 6138/609,6193/3018?
Given fractions are 6138/609,6193/3018
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 6138/609,6193/3018, numerators are 6138,6193
Denominators are 609,3018
The GCF of 6138,6193 is 11 .
LCM of 609,3018 is 612654.
The greatest common factor of 6138/609,6193/3018 = [GCF of 6138,6193]/[LCM of 609,3018]= 11/612654
Therefore, the GCF of 6138/609,6193/3018 is 11/612654.
To find the highest common factor of 6138,6193, we have to find the factors of both numbers and list the highest common factor.
The factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138
The factors of 6193 are 1, 11, 563, 6193
The HCF of 6138,6193 is 11.
Lets's calculate GCF of 6138,6193
| 11 | 6138, 6193 |
| 558, 563 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6138,6193 By Matching Biggest Common Factor Method
Now, list down the factors of 6138
:1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Now, list down the factors of 6193
:1,11,563,6193
Greatest Common Factor
We found the factors 6138,6193 . The biggest common factor number is the GCF number.
So the greatest common factor 6138,6193 is 11.
Lets's calculate LCM of 609,3018
| 3 | 609, 3018 |
| 203, 1006 |
∴ So the LCM of the given numbers is 3 x 203 x 1006 = 612654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/612654
Therefore, the GCF of Fractions 6138/609,6193/3018 is 11/612654
Least Common Multiple of 609,3018 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 609,3018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,3018) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,3018) x common factors =3 x 1 = 3
LCM(609,3018) = ( 609 × 3018 ) / 3
LCM(609,3018) = 1837962 / 3
LCM(609,3018) = 612654
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FAQs on GCF of Fractions of 6138/609, 6193/3018
1. What is the HCF of 6138,6193?
The HCF of 6138,6193 is 11
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 6138/609, 6193/3018?
Answer: GCF of Numerators as per given numbers 6138/609, 6193/3018 is
GCF of Numerators i.e. for 6138,6193 is 11
LCM of denominators i.e. for 609,3018 is 612654.
Thus, GCF of Fractions is 11/612654.Finally, GCF of Fractions for 6138/609, 6193/3018 is 11/612654.