GCF of 6461/369, 1914/5994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6461/369, 1914/5994 i.e 1/245754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6461/369, 1914/5994.
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 6461/369,1914/5994?
Given fractions are 6461/369,1914/5994
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 6461/369,1914/5994, numerators are 6461,1914
Denominators are 369,5994
The GCF of 6461,1914 is 1 .
LCM of 369,5994 is 245754.
The greatest common factor of 6461/369,1914/5994 = [GCF of 6461,1914]/[LCM of 369,5994]= 1/245754
Therefore, the GCF of 6461/369,1914/5994 is 1/245754.
To find the highest common factor of 6461,1914, we have to find the factors of both numbers and list the highest common factor.
The factors of 6461 are 1, 7, 13, 71, 91, 497, 923, 6461
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The HCF of 6461,1914 is 1.
Lets's calculate GCF of 6461,1914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6461,1914 By Matching Biggest Common Factor Method
Now, list down the factors of 6461
:1,7,13,71,91,497,923,6461
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 6461,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 6461,1914 is 1.
Lets's calculate LCM of 369,5994
| 3 | 369, 5994 |
| 3 | 123, 1998 |
| 41, 666 |
∴ So the LCM of the given numbers is 3 x 3 x 41 x 666 = 245754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245754
Therefore, the GCF of Fractions 6461/369,1914/5994 is 1/245754
Least Common Multiple of 369,5994 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 369,5994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,5994) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(369,5994) x common factors =9 x 1 = 9
LCM(369,5994) = ( 369 × 5994 ) / 9
LCM(369,5994) = 2211786 / 9
LCM(369,5994) = 245754
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FAQs on GCF of Fractions of 6461/369, 1914/5994
1. What is the HCF of 6461,1914?
The HCF of 6461,1914 is 1
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 6461/369, 1914/5994?
Answer: GCF of Numerators as per given numbers 6461/369, 1914/5994 is
GCF of Numerators i.e. for 6461,1914 is 1
LCM of denominators i.e. for 369,5994 is 245754.
Thus, GCF of Fractions is 1/245754.Finally, GCF of Fractions for 6461/369, 1914/5994 is 1/245754.