GCF of 1316/338, 7168/5399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1316/338, 7168/5399 i.e 28/1824862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1316/338, 7168/5399.
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 1316/338,7168/5399?
Given fractions are 1316/338,7168/5399
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 1316/338,7168/5399, numerators are 1316,7168
Denominators are 338,5399
The GCF of 1316,7168 is 28 .
LCM of 338,5399 is 1824862.
The greatest common factor of 1316/338,7168/5399 = [GCF of 1316,7168]/[LCM of 338,5399]= 28/1824862
Therefore, the GCF of 1316/338,7168/5399 is 28/1824862.
To find the highest common factor of 1316,7168, we have to find the factors of both numbers and list the highest common factor.
The factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The HCF of 1316,7168 is 28.
Lets's calculate GCF of 1316,7168
| 2 | 1316, 7168 |
| 2 | 658, 3584 |
| 7 | 329, 1792 |
| 47, 256 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1316,7168 By Matching Biggest Common Factor Method
Now, list down the factors of 1316
:1,2,4,7,14,28,47,94,188,329,658,1316
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 1316,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 1316,7168 is 28.
Lets's calculate LCM of 338,5399
Given numbers has no common factors except 1. So, there LCM is their product i.e 1824862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1824862
Therefore, the GCF of Fractions 1316/338,7168/5399 is 28/1824862
Least Common Multiple of 338,5399 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 338,5399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,5399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,5399) x common factors =1 x 1 = 1
LCM(338,5399) = ( 338 × 5399 ) / 1
LCM(338,5399) = 1824862 / 1
LCM(338,5399) = 1824862
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1316/338, 7168/5399
1. What is the HCF of 1316,7168?
The HCF of 1316,7168 is 28
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 1316/338, 7168/5399?
Answer: GCF of Numerators as per given numbers 1316/338, 7168/5399 is
GCF of Numerators i.e. for 1316,7168 is 28
LCM of denominators i.e. for 338,5399 is 1824862.
Thus, GCF of Fractions is 28/1824862.Finally, GCF of Fractions for 1316/338, 7168/5399 is 28/1824862.