GCF of 6061/675, 1914/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6061/675, 1914/367 i.e 319/247725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6061/675, 1914/367.
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 6061/675,1914/367?
Given fractions are 6061/675,1914/367
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 6061/675,1914/367, numerators are 6061,1914
Denominators are 675,367
The GCF of 6061,1914 is 319 .
LCM of 675,367 is 247725.
The greatest common factor of 6061/675,1914/367 = [GCF of 6061,1914]/[LCM of 675,367]= 319/247725
Therefore, the GCF of 6061/675,1914/367 is 319/247725.
To find the highest common factor of 6061,1914, we have to find the factors of both numbers and list the highest common factor.
The factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The HCF of 6061,1914 is 319.
Lets's calculate GCF of 6061,1914
| 11 | 6061, 1914 |
| 29 | 551, 174 |
| 19, 6 |
∴ So the GCF of the given numbers is 11 x 29 = 319
Greatest Common Factor of 6061,1914 By Matching Biggest Common Factor Method
Now, list down the factors of 6061
:1,11,19,29,209,319,551,6061
Now, list down the factors of 1914
:1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Greatest Common Factor
We found the factors 6061,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 6061,1914 is 319.
Lets's calculate LCM of 675,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 247725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 319/247725
Therefore, the GCF of Fractions 6061/675,1914/367 is 319/247725
Least Common Multiple of 675,367 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 675,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,367) x common factors =1 x 1 = 1
LCM(675,367) = ( 675 × 367 ) / 1
LCM(675,367) = 247725 / 1
LCM(675,367) = 247725
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FAQs on GCF of Fractions of 6061/675, 1914/367
1. What is the HCF of 6061,1914?
The HCF of 6061,1914 is 319
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 6061/675, 1914/367?
Answer: GCF of Numerators as per given numbers 6061/675, 1914/367 is
GCF of Numerators i.e. for 6061,1914 is 319
LCM of denominators i.e. for 675,367 is 247725.
Thus, GCF of Fractions is 319/247725.Finally, GCF of Fractions for 6061/675, 1914/367 is 319/247725.