GCF of 3359/728, 1446/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3359/728, 1446/706 i.e 1/256984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3359/728, 1446/706.
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 3359/728,1446/706?
Given fractions are 3359/728,1446/706
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 3359/728,1446/706, numerators are 3359,1446
Denominators are 728,706
The GCF of 3359,1446 is 1 .
LCM of 728,706 is 256984.
The greatest common factor of 3359/728,1446/706 = [GCF of 3359,1446]/[LCM of 728,706]= 1/256984
Therefore, the GCF of 3359/728,1446/706 is 1/256984.
To find the highest common factor of 3359,1446, we have to find the factors of both numbers and list the highest common factor.
The factors of 3359 are 1, 3359
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The HCF of 3359,1446 is 1.
Lets's calculate GCF of 3359,1446
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3359,1446 By Matching Biggest Common Factor Method
Now, list down the factors of 3359
:1,3359
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Greatest Common Factor
We found the factors 3359,1446 . The biggest common factor number is the GCF number.
So the greatest common factor 3359,1446 is 1.
Lets's calculate LCM of 728,706
| 2 | 728, 706 |
| 364, 353 |
∴ So the LCM of the given numbers is 2 x 364 x 353 = 256984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256984
Therefore, the GCF of Fractions 3359/728,1446/706 is 1/256984
Least Common Multiple of 728,706 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 728,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,706) x common factors =2 x 1 = 2
LCM(728,706) = ( 728 × 706 ) / 2
LCM(728,706) = 513968 / 2
LCM(728,706) = 256984
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FAQs on GCF of Fractions of 3359/728, 1446/706
1. What is the HCF of 3359,1446?
The HCF of 3359,1446 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 3359/728, 1446/706?
Answer: GCF of Numerators as per given numbers 3359/728, 1446/706 is
GCF of Numerators i.e. for 3359,1446 is 1
LCM of denominators i.e. for 728,706 is 256984.
Thus, GCF of Fractions is 1/256984.Finally, GCF of Fractions for 3359/728, 1446/706 is 1/256984.