GCF of 5757/494, 1845/5301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5757/494, 1845/5301 i.e 3/137826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5757/494, 1845/5301.
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 5757/494,1845/5301?
Given fractions are 5757/494,1845/5301
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 5757/494,1845/5301, numerators are 5757,1845
Denominators are 494,5301
The GCF of 5757,1845 is 3 .
LCM of 494,5301 is 137826.
The greatest common factor of 5757/494,1845/5301 = [GCF of 5757,1845]/[LCM of 494,5301]= 3/137826
Therefore, the GCF of 5757/494,1845/5301 is 3/137826.
To find the highest common factor of 5757,1845, we have to find the factors of both numbers and list the highest common factor.
The factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The HCF of 5757,1845 is 3.
Lets's calculate GCF of 5757,1845
| 3 | 5757, 1845 |
| 1919, 615 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5757,1845 By Matching Biggest Common Factor Method
Now, list down the factors of 5757
:1,3,19,57,101,303,1919,5757
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Greatest Common Factor
We found the factors 5757,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 5757,1845 is 3.
Lets's calculate LCM of 494,5301
| 19 | 494, 5301 |
| 26, 279 |
∴ So the LCM of the given numbers is 19 x 26 x 279 = 137826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/137826
Therefore, the GCF of Fractions 5757/494,1845/5301 is 3/137826
Least Common Multiple of 494,5301 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 494,5301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,5301) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(494,5301) x common factors =19 x 1 = 19
LCM(494,5301) = ( 494 × 5301 ) / 19
LCM(494,5301) = 2618694 / 19
LCM(494,5301) = 137826
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FAQs on GCF of Fractions of 5757/494, 1845/5301
1. What is the HCF of 5757,1845?
The HCF of 5757,1845 is 3
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 5757/494, 1845/5301?
Answer: GCF of Numerators as per given numbers 5757/494, 1845/5301 is
GCF of Numerators i.e. for 5757,1845 is 3
LCM of denominators i.e. for 494,5301 is 137826.
Thus, GCF of Fractions is 3/137826.Finally, GCF of Fractions for 5757/494, 1845/5301 is 3/137826.