GCF of 3996/682, 3404/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3996/682, 3404/438 i.e 148/149358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3996/682, 3404/438.
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 3996/682,3404/438?
Given fractions are 3996/682,3404/438
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 3996/682,3404/438, numerators are 3996,3404
Denominators are 682,438
The GCF of 3996,3404 is 148 .
LCM of 682,438 is 149358.
The greatest common factor of 3996/682,3404/438 = [GCF of 3996,3404]/[LCM of 682,438]= 148/149358
Therefore, the GCF of 3996/682,3404/438 is 148/149358.
To find the highest common factor of 3996,3404, we have to find the factors of both numbers and list the highest common factor.
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996
The factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404
The HCF of 3996,3404 is 148.
Lets's calculate GCF of 3996,3404
| 2 | 3996, 3404 |
| 2 | 1998, 1702 |
| 37 | 999, 851 |
| 27, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 37 = 148
Greatest Common Factor of 3996,3404 By Matching Biggest Common Factor Method
Now, list down the factors of 3996
:1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Now, list down the factors of 3404
:1,2,4,23,37,46,74,92,148,851,1702,3404
Greatest Common Factor
We found the factors 3996,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,3404 is 148.
Lets's calculate LCM of 682,438
| 2 | 682, 438 |
| 341, 219 |
∴ So the LCM of the given numbers is 2 x 341 x 219 = 149358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 148/149358
Therefore, the GCF of Fractions 3996/682,3404/438 is 148/149358
Least Common Multiple of 682,438 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 682,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,438) x common factors =2 x 1 = 2
LCM(682,438) = ( 682 × 438 ) / 2
LCM(682,438) = 298716 / 2
LCM(682,438) = 149358
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FAQs on GCF of Fractions of 3996/682, 3404/438
1. What is the HCF of 3996,3404?
The HCF of 3996,3404 is 148
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 3996/682, 3404/438?
Answer: GCF of Numerators as per given numbers 3996/682, 3404/438 is
GCF of Numerators i.e. for 3996,3404 is 148
LCM of denominators i.e. for 682,438 is 149358.
Thus, GCF of Fractions is 148/149358.Finally, GCF of Fractions for 3996/682, 3404/438 is 148/149358.