GCF of 7216/445, 1159/9121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7216/445, 1159/9121 i.e 1/4058845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7216/445, 1159/9121.
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 7216/445,1159/9121?
Given fractions are 7216/445,1159/9121
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 7216/445,1159/9121, numerators are 7216,1159
Denominators are 445,9121
The GCF of 7216,1159 is 1 .
LCM of 445,9121 is 4058845.
The greatest common factor of 7216/445,1159/9121 = [GCF of 7216,1159]/[LCM of 445,9121]= 1/4058845
Therefore, the GCF of 7216/445,1159/9121 is 1/4058845.
To find the highest common factor of 7216,1159, we have to find the factors of both numbers and list the highest common factor.
The factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216
The factors of 1159 are 1, 19, 61, 1159
The HCF of 7216,1159 is 1.
Lets's calculate GCF of 7216,1159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7216,1159 By Matching Biggest Common Factor Method
Now, list down the factors of 7216
:1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216
Now, list down the factors of 1159
:1,19,61,1159
Greatest Common Factor
We found the factors 7216,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 7216,1159 is 1.
Lets's calculate LCM of 445,9121
Given numbers has no common factors except 1. So, there LCM is their product i.e 4058845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4058845
Therefore, the GCF of Fractions 7216/445,1159/9121 is 1/4058845
Least Common Multiple of 445,9121 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 445,9121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,9121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,9121) x common factors =1 x 1 = 1
LCM(445,9121) = ( 445 × 9121 ) / 1
LCM(445,9121) = 4058845 / 1
LCM(445,9121) = 4058845
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7216/445, 1159/9121
1. What is the HCF of 7216,1159?
The HCF of 7216,1159 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 7216/445, 1159/9121?
Answer: GCF of Numerators as per given numbers 7216/445, 1159/9121 is
GCF of Numerators i.e. for 7216,1159 is 1
LCM of denominators i.e. for 445,9121 is 4058845.
Thus, GCF of Fractions is 1/4058845.Finally, GCF of Fractions for 7216/445, 1159/9121 is 1/4058845.