GCF of 4112/649, 5819/2629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4112/649, 5819/2629 i.e 1/155111 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4112/649, 5819/2629.
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 4112/649,5819/2629?
Given fractions are 4112/649,5819/2629
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 4112/649,5819/2629, numerators are 4112,5819
Denominators are 649,2629
The GCF of 4112,5819 is 1 .
LCM of 649,2629 is 155111.
The greatest common factor of 4112/649,5819/2629 = [GCF of 4112,5819]/[LCM of 649,2629]= 1/155111
Therefore, the GCF of 4112/649,5819/2629 is 1/155111.
To find the highest common factor of 4112,5819, we have to find the factors of both numbers and list the highest common factor.
The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112
The factors of 5819 are 1, 11, 23, 253, 529, 5819
The HCF of 4112,5819 is 1.
Lets's calculate GCF of 4112,5819
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4112,5819 By Matching Biggest Common Factor Method
Now, list down the factors of 4112
:1,2,4,8,16,257,514,1028,2056,4112
Now, list down the factors of 5819
:1,11,23,253,529,5819
Greatest Common Factor
We found the factors 4112,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 4112,5819 is 1.
Lets's calculate LCM of 649,2629
| 11 | 649, 2629 |
| 59, 239 |
∴ So the LCM of the given numbers is 11 x 59 x 239 = 155111
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155111
Therefore, the GCF of Fractions 4112/649,5819/2629 is 1/155111
Least Common Multiple of 649,2629 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 649,2629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,2629) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(649,2629) x common factors =11 x 1 = 11
LCM(649,2629) = ( 649 × 2629 ) / 11
LCM(649,2629) = 1706221 / 11
LCM(649,2629) = 155111
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FAQs on GCF of Fractions of 4112/649, 5819/2629
1. What is the HCF of 4112,5819?
The HCF of 4112,5819 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 4112/649, 5819/2629?
Answer: GCF of Numerators as per given numbers 4112/649, 5819/2629 is
GCF of Numerators i.e. for 4112,5819 is 1
LCM of denominators i.e. for 649,2629 is 155111.
Thus, GCF of Fractions is 1/155111.Finally, GCF of Fractions for 4112/649, 5819/2629 is 1/155111.