GCF of 3436/446, 6703/1396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3436/446, 6703/1396 i.e 1/311308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3436/446, 6703/1396.
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 3436/446,6703/1396?
Given fractions are 3436/446,6703/1396
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 3436/446,6703/1396, numerators are 3436,6703
Denominators are 446,1396
The GCF of 3436,6703 is 1 .
LCM of 446,1396 is 311308.
The greatest common factor of 3436/446,6703/1396 = [GCF of 3436,6703]/[LCM of 446,1396]= 1/311308
Therefore, the GCF of 3436/446,6703/1396 is 1/311308.
To find the highest common factor of 3436,6703, we have to find the factors of both numbers and list the highest common factor.
The factors of 3436 are 1, 2, 4, 859, 1718, 3436
The factors of 6703 are 1, 6703
The HCF of 3436,6703 is 1.
Lets's calculate GCF of 3436,6703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3436,6703 By Matching Biggest Common Factor Method
Now, list down the factors of 3436
:1,2,4,859,1718,3436
Now, list down the factors of 6703
:1,6703
Greatest Common Factor
We found the factors 3436,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 3436,6703 is 1.
Lets's calculate LCM of 446,1396
| 2 | 446, 1396 |
| 223, 698 |
∴ So the LCM of the given numbers is 2 x 223 x 698 = 311308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311308
Therefore, the GCF of Fractions 3436/446,6703/1396 is 1/311308
Least Common Multiple of 446,1396 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 446,1396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,1396) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,1396) x common factors =2 x 1 = 2
LCM(446,1396) = ( 446 × 1396 ) / 2
LCM(446,1396) = 622616 / 2
LCM(446,1396) = 311308
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FAQs on GCF of Fractions of 3436/446, 6703/1396
1. What is the HCF of 3436,6703?
The HCF of 3436,6703 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 3436/446, 6703/1396?
Answer: GCF of Numerators as per given numbers 3436/446, 6703/1396 is
GCF of Numerators i.e. for 3436,6703 is 1
LCM of denominators i.e. for 446,1396 is 311308.
Thus, GCF of Fractions is 1/311308.Finally, GCF of Fractions for 3436/446, 6703/1396 is 1/311308.