GCF of 9439/384, 3296/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9439/384, 3296/674 i.e 1/129408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9439/384, 3296/674.
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 9439/384,3296/674?
Given fractions are 9439/384,3296/674
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 9439/384,3296/674, numerators are 9439,3296
Denominators are 384,674
The GCF of 9439,3296 is 1 .
LCM of 384,674 is 129408.
The greatest common factor of 9439/384,3296/674 = [GCF of 9439,3296]/[LCM of 384,674]= 1/129408
Therefore, the GCF of 9439/384,3296/674 is 1/129408.
To find the highest common factor of 9439,3296, we have to find the factors of both numbers and list the highest common factor.
The factors of 9439 are 1, 9439
The factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296
The HCF of 9439,3296 is 1.
Lets's calculate GCF of 9439,3296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9439,3296 By Matching Biggest Common Factor Method
Now, list down the factors of 9439
:1,9439
Now, list down the factors of 3296
:1,2,4,8,16,32,103,206,412,824,1648,3296
Greatest Common Factor
We found the factors 9439,3296 . The biggest common factor number is the GCF number.
So the greatest common factor 9439,3296 is 1.
Lets's calculate LCM of 384,674
| 2 | 384, 674 |
| 192, 337 |
∴ So the LCM of the given numbers is 2 x 192 x 337 = 129408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129408
Therefore, the GCF of Fractions 9439/384,3296/674 is 1/129408
Least Common Multiple of 384,674 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 384,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,674) x common factors =2 x 1 = 2
LCM(384,674) = ( 384 × 674 ) / 2
LCM(384,674) = 258816 / 2
LCM(384,674) = 129408
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FAQs on GCF of Fractions of 9439/384, 3296/674
1. What is the HCF of 9439,3296?
The HCF of 9439,3296 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 9439/384, 3296/674?
Answer: GCF of Numerators as per given numbers 9439/384, 3296/674 is
GCF of Numerators i.e. for 9439,3296 is 1
LCM of denominators i.e. for 384,674 is 129408.
Thus, GCF of Fractions is 1/129408.Finally, GCF of Fractions for 9439/384, 3296/674 is 1/129408.