GCF of 3824/317, 3568/994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3824/317, 3568/994 i.e 16/315098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3824/317, 3568/994.
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 3824/317,3568/994?
Given fractions are 3824/317,3568/994
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 3824/317,3568/994, numerators are 3824,3568
Denominators are 317,994
The GCF of 3824,3568 is 16 .
LCM of 317,994 is 315098.
The greatest common factor of 3824/317,3568/994 = [GCF of 3824,3568]/[LCM of 317,994]= 16/315098
Therefore, the GCF of 3824/317,3568/994 is 16/315098.
To find the highest common factor of 3824,3568, we have to find the factors of both numbers and list the highest common factor.
The factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824
The factors of 3568 are 1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568
The HCF of 3824,3568 is 16.
Lets's calculate GCF of 3824,3568
| 2 | 3824, 3568 |
| 2 | 1912, 1784 |
| 2 | 956, 892 |
| 2 | 478, 446 |
| 239, 223 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3824,3568 By Matching Biggest Common Factor Method
Now, list down the factors of 3824
:1,2,4,8,16,239,478,956,1912,3824
Now, list down the factors of 3568
:1,2,4,8,16,223,446,892,1784,3568
Greatest Common Factor
We found the factors 3824,3568 . The biggest common factor number is the GCF number.
So the greatest common factor 3824,3568 is 16.
Lets's calculate LCM of 317,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 315098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/315098
Therefore, the GCF of Fractions 3824/317,3568/994 is 16/315098
Least Common Multiple of 317,994 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 317,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,994) x common factors =1 x 1 = 1
LCM(317,994) = ( 317 × 994 ) / 1
LCM(317,994) = 315098 / 1
LCM(317,994) = 315098
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FAQs on GCF of Fractions of 3824/317, 3568/994
1. What is the HCF of 3824,3568?
The HCF of 3824,3568 is 16
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 3824/317, 3568/994?
Answer: GCF of Numerators as per given numbers 3824/317, 3568/994 is
GCF of Numerators i.e. for 3824,3568 is 16
LCM of denominators i.e. for 317,994 is 315098.
Thus, GCF of Fractions is 16/315098.Finally, GCF of Fractions for 3824/317, 3568/994 is 16/315098.