GCF of 793/155, 808/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/155, 808/723 i.e 1/112065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/155, 808/723.
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 793/155,808/723?
Given fractions are 793/155,808/723
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 793/155,808/723, numerators are 793,808
Denominators are 155,723
The GCF of 793,808 is 1 .
LCM of 155,723 is 112065.
The greatest common factor of 793/155,808/723 = [GCF of 793,808]/[LCM of 155,723]= 1/112065
Therefore, the GCF of 793/155,808/723 is 1/112065.
To find the highest common factor of 793,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 793,808 is 1.
Lets's calculate GCF of 793,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 793,808 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 793,808 . The biggest common factor number is the GCF number.
So the greatest common factor 793,808 is 1.
Lets's calculate LCM of 155,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 112065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112065
Therefore, the GCF of Fractions 793/155,808/723 is 1/112065
Least Common Multiple of 155,723 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 155,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,723) x common factors =1 x 1 = 1
LCM(155,723) = ( 155 × 723 ) / 1
LCM(155,723) = 112065 / 1
LCM(155,723) = 112065
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 793/155, 808/723
1. What is the HCF of 793,808?
The HCF of 793,808 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 793/155, 808/723?
Answer: GCF of Numerators as per given numbers 793/155, 808/723 is
GCF of Numerators i.e. for 793,808 is 1
LCM of denominators i.e. for 155,723 is 112065.
Thus, GCF of Fractions is 1/112065.Finally, GCF of Fractions for 793/155, 808/723 is 1/112065.