GCF of 195/995, 2791/793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 195/995, 2791/793 i.e 1/789035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 195/995, 2791/793.
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 195/995,2791/793?
Given fractions are 195/995,2791/793
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 195/995,2791/793, numerators are 195,2791
Denominators are 995,793
The GCF of 195,2791 is 1 .
LCM of 995,793 is 789035.
The greatest common factor of 195/995,2791/793 = [GCF of 195,2791]/[LCM of 995,793]= 1/789035
Therefore, the GCF of 195/995,2791/793 is 1/789035.
To find the highest common factor of 195,2791, we have to find the factors of both numbers and list the highest common factor.
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The factors of 2791 are 1, 2791
The HCF of 195,2791 is 1.
Lets's calculate GCF of 195,2791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 195,2791 By Matching Biggest Common Factor Method
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Now, list down the factors of 2791
:1,2791
Greatest Common Factor
We found the factors 195,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 195,2791 is 1.
Lets's calculate LCM of 995,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 789035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789035
Therefore, the GCF of Fractions 195/995,2791/793 is 1/789035
Least Common Multiple of 995,793 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 995,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,793) x common factors =1 x 1 = 1
LCM(995,793) = ( 995 × 793 ) / 1
LCM(995,793) = 789035 / 1
LCM(995,793) = 789035
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FAQs on GCF of Fractions of 195/995, 2791/793
1. What is the HCF of 195,2791?
The HCF of 195,2791 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 195/995, 2791/793?
Answer: GCF of Numerators as per given numbers 195/995, 2791/793 is
GCF of Numerators i.e. for 195,2791 is 1
LCM of denominators i.e. for 995,793 is 789035.
Thus, GCF of Fractions is 1/789035.Finally, GCF of Fractions for 195/995, 2791/793 is 1/789035.