GCF of 3394/477, 9395/5472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3394/477, 9395/5472 i.e 1/290016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3394/477, 9395/5472.
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 3394/477,9395/5472?
Given fractions are 3394/477,9395/5472
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 3394/477,9395/5472, numerators are 3394,9395
Denominators are 477,5472
The GCF of 3394,9395 is 1 .
LCM of 477,5472 is 290016.
The greatest common factor of 3394/477,9395/5472 = [GCF of 3394,9395]/[LCM of 477,5472]= 1/290016
Therefore, the GCF of 3394/477,9395/5472 is 1/290016.
To find the highest common factor of 3394,9395, we have to find the factors of both numbers and list the highest common factor.
The factors of 3394 are 1, 2, 1697, 3394
The factors of 9395 are 1, 5, 1879, 9395
The HCF of 3394,9395 is 1.
Lets's calculate GCF of 3394,9395
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3394,9395 By Matching Biggest Common Factor Method
Now, list down the factors of 3394
:1,2,1697,3394
Now, list down the factors of 9395
:1,5,1879,9395
Greatest Common Factor
We found the factors 3394,9395 . The biggest common factor number is the GCF number.
So the greatest common factor 3394,9395 is 1.
Lets's calculate LCM of 477,5472
| 3 | 477, 5472 |
| 3 | 159, 1824 |
| 53, 608 |
∴ So the LCM of the given numbers is 3 x 3 x 53 x 608 = 290016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290016
Therefore, the GCF of Fractions 3394/477,9395/5472 is 1/290016
Least Common Multiple of 477,5472 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 477,5472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,5472) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(477,5472) x common factors =9 x 1 = 9
LCM(477,5472) = ( 477 × 5472 ) / 9
LCM(477,5472) = 2610144 / 9
LCM(477,5472) = 290016
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3394/477, 9395/5472
1. What is the HCF of 3394,9395?
The HCF of 3394,9395 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 3394/477, 9395/5472?
Answer: GCF of Numerators as per given numbers 3394/477, 9395/5472 is
GCF of Numerators i.e. for 3394,9395 is 1
LCM of denominators i.e. for 477,5472 is 290016.
Thus, GCF of Fractions is 1/290016.Finally, GCF of Fractions for 3394/477, 9395/5472 is 1/290016.