GCF of 793/996, 7855/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/996, 7855/503 i.e 1/500988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/996, 7855/503.
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 793/996,7855/503?
Given fractions are 793/996,7855/503
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 793/996,7855/503, numerators are 793,7855
Denominators are 996,503
The GCF of 793,7855 is 1 .
LCM of 996,503 is 500988.
The greatest common factor of 793/996,7855/503 = [GCF of 793,7855]/[LCM of 996,503]= 1/500988
Therefore, the GCF of 793/996,7855/503 is 1/500988.
To find the highest common factor of 793,7855, 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 7855 are 1, 5, 1571, 7855
The HCF of 793,7855 is 1.
Lets's calculate GCF of 793,7855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 793,7855 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 7855
:1,5,1571,7855
Greatest Common Factor
We found the factors 793,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 793,7855 is 1.
Lets's calculate LCM of 996,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 500988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500988
Therefore, the GCF of Fractions 793/996,7855/503 is 1/500988
Least Common Multiple of 996,503 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 996,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,503) x common factors =1 x 1 = 1
LCM(996,503) = ( 996 × 503 ) / 1
LCM(996,503) = 500988 / 1
LCM(996,503) = 500988
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 793/996, 7855/503
1. What is the HCF of 793,7855?
The HCF of 793,7855 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 793/996, 7855/503?
Answer: GCF of Numerators as per given numbers 793/996, 7855/503 is
GCF of Numerators i.e. for 793,7855 is 1
LCM of denominators i.e. for 996,503 is 500988.
Thus, GCF of Fractions is 1/500988.Finally, GCF of Fractions for 793/996, 7855/503 is 1/500988.