GCF of 7367/729, 7821/2816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7367/729, 7821/2816 i.e 1/2052864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7367/729, 7821/2816.
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 7367/729,7821/2816?
Given fractions are 7367/729,7821/2816
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 7367/729,7821/2816, numerators are 7367,7821
Denominators are 729,2816
The GCF of 7367,7821 is 1 .
LCM of 729,2816 is 2052864.
The greatest common factor of 7367/729,7821/2816 = [GCF of 7367,7821]/[LCM of 729,2816]= 1/2052864
Therefore, the GCF of 7367/729,7821/2816 is 1/2052864.
To find the highest common factor of 7367,7821, we have to find the factors of both numbers and list the highest common factor.
The factors of 7367 are 1, 53, 139, 7367
The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
The HCF of 7367,7821 is 1.
Lets's calculate GCF of 7367,7821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7367,7821 By Matching Biggest Common Factor Method
Now, list down the factors of 7367
:1,53,139,7367
Now, list down the factors of 7821
:1,3,9,11,33,79,99,237,711,869,2607,7821
Greatest Common Factor
We found the factors 7367,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 7367,7821 is 1.
Lets's calculate LCM of 729,2816
Given numbers has no common factors except 1. So, there LCM is their product i.e 2052864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2052864
Therefore, the GCF of Fractions 7367/729,7821/2816 is 1/2052864
Least Common Multiple of 729,2816 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 729,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,2816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,2816) x common factors =1 x 1 = 1
LCM(729,2816) = ( 729 × 2816 ) / 1
LCM(729,2816) = 2052864 / 1
LCM(729,2816) = 2052864
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FAQs on GCF of Fractions of 7367/729, 7821/2816
1. What is the HCF of 7367,7821?
The HCF of 7367,7821 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 7367/729, 7821/2816?
Answer: GCF of Numerators as per given numbers 7367/729, 7821/2816 is
GCF of Numerators i.e. for 7367,7821 is 1
LCM of denominators i.e. for 729,2816 is 2052864.
Thus, GCF of Fractions is 1/2052864.Finally, GCF of Fractions for 7367/729, 7821/2816 is 1/2052864.