GCF of 8004/744, 5162/1912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8004/744, 5162/1912 i.e 58/177816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8004/744, 5162/1912.
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 8004/744,5162/1912?
Given fractions are 8004/744,5162/1912
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 8004/744,5162/1912, numerators are 8004,5162
Denominators are 744,1912
The GCF of 8004,5162 is 58 .
LCM of 744,1912 is 177816.
The greatest common factor of 8004/744,5162/1912 = [GCF of 8004,5162]/[LCM of 744,1912]= 58/177816
Therefore, the GCF of 8004/744,5162/1912 is 58/177816.
To find the highest common factor of 8004,5162, we have to find the factors of both numbers and list the highest common factor.
The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004
The factors of 5162 are 1, 2, 29, 58, 89, 178, 2581, 5162
The HCF of 8004,5162 is 58.
Lets's calculate GCF of 8004,5162
| 2 | 8004, 5162 |
| 29 | 4002, 2581 |
| 138, 89 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 8004,5162 By Matching Biggest Common Factor Method
Now, list down the factors of 8004
:1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004
Now, list down the factors of 5162
:1,2,29,58,89,178,2581,5162
Greatest Common Factor
We found the factors 8004,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 8004,5162 is 58.
Lets's calculate LCM of 744,1912
| 2 | 744, 1912 |
| 2 | 372, 956 |
| 2 | 186, 478 |
| 93, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 239 = 177816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/177816
Therefore, the GCF of Fractions 8004/744,5162/1912 is 58/177816
Least Common Multiple of 744,1912 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 744,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,1912) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(744,1912) x common factors =8 x 1 = 8
LCM(744,1912) = ( 744 × 1912 ) / 8
LCM(744,1912) = 1422528 / 8
LCM(744,1912) = 177816
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8004/744, 5162/1912
1. What is the HCF of 8004,5162?
The HCF of 8004,5162 is 58
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 8004/744, 5162/1912?
Answer: GCF of Numerators as per given numbers 8004/744, 5162/1912 is
GCF of Numerators i.e. for 8004,5162 is 58
LCM of denominators i.e. for 744,1912 is 177816.
Thus, GCF of Fractions is 58/177816.Finally, GCF of Fractions for 8004/744, 5162/1912 is 58/177816.