GCF of 3396/391, 1424/6288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3396/391, 1424/6288 i.e 4/2458608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3396/391, 1424/6288.
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 3396/391,1424/6288?
Given fractions are 3396/391,1424/6288
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 3396/391,1424/6288, numerators are 3396,1424
Denominators are 391,6288
The GCF of 3396,1424 is 4 .
LCM of 391,6288 is 2458608.
The greatest common factor of 3396/391,1424/6288 = [GCF of 3396,1424]/[LCM of 391,6288]= 4/2458608
Therefore, the GCF of 3396/391,1424/6288 is 4/2458608.
To find the highest common factor of 3396,1424, we have to find the factors of both numbers and list the highest common factor.
The factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396
The factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424
The HCF of 3396,1424 is 4.
Lets's calculate GCF of 3396,1424
| 2 | 3396, 1424 |
| 2 | 1698, 712 |
| 849, 356 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3396,1424 By Matching Biggest Common Factor Method
Now, list down the factors of 3396
:1,2,3,4,6,12,283,566,849,1132,1698,3396
Now, list down the factors of 1424
:1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 3396,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 3396,1424 is 4.
Lets's calculate LCM of 391,6288
Given numbers has no common factors except 1. So, there LCM is their product i.e 2458608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2458608
Therefore, the GCF of Fractions 3396/391,1424/6288 is 4/2458608
Least Common Multiple of 391,6288 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 391,6288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,6288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,6288) x common factors =1 x 1 = 1
LCM(391,6288) = ( 391 × 6288 ) / 1
LCM(391,6288) = 2458608 / 1
LCM(391,6288) = 2458608
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3396/391, 1424/6288
1. What is the HCF of 3396,1424?
The HCF of 3396,1424 is 4
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 3396/391, 1424/6288?
Answer: GCF of Numerators as per given numbers 3396/391, 1424/6288 is
GCF of Numerators i.e. for 3396,1424 is 4
LCM of denominators i.e. for 391,6288 is 2458608.
Thus, GCF of Fractions is 4/2458608.Finally, GCF of Fractions for 3396/391, 1424/6288 is 4/2458608.