GCF of 787/432, 7304/2016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 787/432, 7304/2016 i.e 1/6048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 787/432, 7304/2016.
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 787/432,7304/2016?
Given fractions are 787/432,7304/2016
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 787/432,7304/2016, numerators are 787,7304
Denominators are 432,2016
The GCF of 787,7304 is 1 .
LCM of 432,2016 is 6048.
The greatest common factor of 787/432,7304/2016 = [GCF of 787,7304]/[LCM of 432,2016]= 1/6048
Therefore, the GCF of 787/432,7304/2016 is 1/6048.
To find the highest common factor of 787,7304, we have to find the factors of both numbers and list the highest common factor.
The factors of 787 are 1, 787
The factors of 7304 are 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304
The HCF of 787,7304 is 1.
Lets's calculate GCF of 787,7304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 787,7304 By Matching Biggest Common Factor Method
Now, list down the factors of 787
:1,787
Now, list down the factors of 7304
:1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304
Greatest Common Factor
We found the factors 787,7304 . The biggest common factor number is the GCF number.
So the greatest common factor 787,7304 is 1.
Lets's calculate LCM of 432,2016
| 2 | 432, 2016 |
| 2 | 216, 1008 |
| 2 | 108, 504 |
| 2 | 54, 252 |
| 3 | 27, 126 |
| 3 | 9, 42 |
| 3, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 14 = 6048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6048
Therefore, the GCF of Fractions 787/432,7304/2016 is 1/6048
Least Common Multiple of 432,2016 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 432,2016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,2016) = 144
common factors(in case of two or more numbers have common factors) = 1
GCF(432,2016) x common factors =144 x 1 = 144
LCM(432,2016) = ( 432 × 2016 ) / 144
LCM(432,2016) = 870912 / 144
LCM(432,2016) = 6048
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 787/432, 7304/2016
1. What is the HCF of 787,7304?
The HCF of 787,7304 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 787/432, 7304/2016?
Answer: GCF of Numerators as per given numbers 787/432, 7304/2016 is
GCF of Numerators i.e. for 787,7304 is 1
LCM of denominators i.e. for 432,2016 is 6048.
Thus, GCF of Fractions is 1/6048.Finally, GCF of Fractions for 787/432, 7304/2016 is 1/6048.