GCF of 2519/418, 1859/4016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2519/418, 1859/4016 i.e 11/839344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2519/418, 1859/4016.
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 2519/418,1859/4016?
Given fractions are 2519/418,1859/4016
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 2519/418,1859/4016, numerators are 2519,1859
Denominators are 418,4016
The GCF of 2519,1859 is 11 .
LCM of 418,4016 is 839344.
The greatest common factor of 2519/418,1859/4016 = [GCF of 2519,1859]/[LCM of 418,4016]= 11/839344
Therefore, the GCF of 2519/418,1859/4016 is 11/839344.
To find the highest common factor of 2519,1859, we have to find the factors of both numbers and list the highest common factor.
The factors of 2519 are 1, 11, 229, 2519
The factors of 1859 are 1, 11, 13, 143, 169, 1859
The HCF of 2519,1859 is 11.
Lets's calculate GCF of 2519,1859
| 11 | 2519, 1859 |
| 229, 169 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2519,1859 By Matching Biggest Common Factor Method
Now, list down the factors of 2519
:1,11,229,2519
Now, list down the factors of 1859
:1,11,13,143,169,1859
Greatest Common Factor
We found the factors 2519,1859 . The biggest common factor number is the GCF number.
So the greatest common factor 2519,1859 is 11.
Lets's calculate LCM of 418,4016
| 2 | 418, 4016 |
| 209, 2008 |
∴ So the LCM of the given numbers is 2 x 209 x 2008 = 839344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/839344
Therefore, the GCF of Fractions 2519/418,1859/4016 is 11/839344
Least Common Multiple of 418,4016 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 418,4016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,4016) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,4016) x common factors =2 x 1 = 2
LCM(418,4016) = ( 418 × 4016 ) / 2
LCM(418,4016) = 1678688 / 2
LCM(418,4016) = 839344
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FAQs on GCF of Fractions of 2519/418, 1859/4016
1. What is the HCF of 2519,1859?
The HCF of 2519,1859 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 2519/418, 1859/4016?
Answer: GCF of Numerators as per given numbers 2519/418, 1859/4016 is
GCF of Numerators i.e. for 2519,1859 is 11
LCM of denominators i.e. for 418,4016 is 839344.
Thus, GCF of Fractions is 11/839344.Finally, GCF of Fractions for 2519/418, 1859/4016 is 11/839344.