GCF of 793/25, 115/8004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/25, 115/8004 i.e 1/200100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/25, 115/8004.
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 793/25,115/8004?
Given fractions are 793/25,115/8004
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 793/25,115/8004, numerators are 793,115
Denominators are 25,8004
The GCF of 793,115 is 1 .
LCM of 25,8004 is 200100.
The greatest common factor of 793/25,115/8004 = [GCF of 793,115]/[LCM of 25,8004]= 1/200100
Therefore, the GCF of 793/25,115/8004 is 1/200100.
To find the highest common factor of 793,115, 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 115 are 1, 5, 23, 115
The HCF of 793,115 is 1.
Lets's calculate GCF of 793,115
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 793,115 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 115
:1,5,23,115
Greatest Common Factor
We found the factors 793,115 . The biggest common factor number is the GCF number.
So the greatest common factor 793,115 is 1.
Lets's calculate LCM of 25,8004
Given numbers has no common factors except 1. So, there LCM is their product i.e 200100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200100
Therefore, the GCF of Fractions 793/25,115/8004 is 1/200100
Least Common Multiple of 25,8004 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 25,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,8004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,8004) x common factors =1 x 1 = 1
LCM(25,8004) = ( 25 × 8004 ) / 1
LCM(25,8004) = 200100 / 1
LCM(25,8004) = 200100
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FAQs on GCF of Fractions of 793/25, 115/8004
1. What is the HCF of 793,115?
The HCF of 793,115 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 793/25, 115/8004?
Answer: GCF of Numerators as per given numbers 793/25, 115/8004 is
GCF of Numerators i.e. for 793,115 is 1
LCM of denominators i.e. for 25,8004 is 200100.
Thus, GCF of Fractions is 1/200100.Finally, GCF of Fractions for 793/25, 115/8004 is 1/200100.