GCF of 9392/728, 5947/112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9392/728, 5947/112 i.e 1/1456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9392/728, 5947/112.
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 9392/728,5947/112?
Given fractions are 9392/728,5947/112
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 9392/728,5947/112, numerators are 9392,5947
Denominators are 728,112
The GCF of 9392,5947 is 1 .
LCM of 728,112 is 1456.
The greatest common factor of 9392/728,5947/112 = [GCF of 9392,5947]/[LCM of 728,112]= 1/1456
Therefore, the GCF of 9392/728,5947/112 is 1/1456.
To find the highest common factor of 9392,5947, we have to find the factors of both numbers and list the highest common factor.
The factors of 9392 are 1, 2, 4, 8, 16, 587, 1174, 2348, 4696, 9392
The factors of 5947 are 1, 19, 313, 5947
The HCF of 9392,5947 is 1.
Lets's calculate GCF of 9392,5947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9392,5947 By Matching Biggest Common Factor Method
Now, list down the factors of 9392
:1,2,4,8,16,587,1174,2348,4696,9392
Now, list down the factors of 5947
:1,19,313,5947
Greatest Common Factor
We found the factors 9392,5947 . The biggest common factor number is the GCF number.
So the greatest common factor 9392,5947 is 1.
Lets's calculate LCM of 728,112
| 2 | 728, 112 |
| 2 | 364, 56 |
| 2 | 182, 28 |
| 7 | 91, 14 |
| 13, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 2 = 1456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1456
Therefore, the GCF of Fractions 9392/728,5947/112 is 1/1456
Least Common Multiple of 728,112 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 728,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,112) = 56
common factors(in case of two or more numbers have common factors) = 1
GCF(728,112) x common factors =56 x 1 = 56
LCM(728,112) = ( 728 × 112 ) / 56
LCM(728,112) = 81536 / 56
LCM(728,112) = 1456
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9392/728, 5947/112
1. What is the HCF of 9392,5947?
The HCF of 9392,5947 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 9392/728, 5947/112?
Answer: GCF of Numerators as per given numbers 9392/728, 5947/112 is
GCF of Numerators i.e. for 9392,5947 is 1
LCM of denominators i.e. for 728,112 is 1456.
Thus, GCF of Fractions is 1/1456.Finally, GCF of Fractions for 9392/728, 5947/112 is 1/1456.