GCF of 7216/738, 5327/983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7216/738, 5327/983 i.e 1/725454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7216/738, 5327/983.
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 7216/738,5327/983?
Given fractions are 7216/738,5327/983
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 7216/738,5327/983, numerators are 7216,5327
Denominators are 738,983
The GCF of 7216,5327 is 1 .
LCM of 738,983 is 725454.
The greatest common factor of 7216/738,5327/983 = [GCF of 7216,5327]/[LCM of 738,983]= 1/725454
Therefore, the GCF of 7216/738,5327/983 is 1/725454.
To find the highest common factor of 7216,5327, 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 5327 are 1, 7, 761, 5327
The HCF of 7216,5327 is 1.
Lets's calculate GCF of 7216,5327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7216,5327 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 5327
:1,7,761,5327
Greatest Common Factor
We found the factors 7216,5327 . The biggest common factor number is the GCF number.
So the greatest common factor 7216,5327 is 1.
Lets's calculate LCM of 738,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 725454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/725454
Therefore, the GCF of Fractions 7216/738,5327/983 is 1/725454
Least Common Multiple of 738,983 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 738,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,983) x common factors =1 x 1 = 1
LCM(738,983) = ( 738 × 983 ) / 1
LCM(738,983) = 725454 / 1
LCM(738,983) = 725454
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7216/738, 5327/983
1. What is the HCF of 7216,5327?
The HCF of 7216,5327 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 7216/738, 5327/983?
Answer: GCF of Numerators as per given numbers 7216/738, 5327/983 is
GCF of Numerators i.e. for 7216,5327 is 1
LCM of denominators i.e. for 738,983 is 725454.
Thus, GCF of Fractions is 1/725454.Finally, GCF of Fractions for 7216/738, 5327/983 is 1/725454.