GCF of 221/193, 8114/2965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 221/193, 8114/2965 i.e 1/572245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 221/193, 8114/2965.
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 221/193,8114/2965?
Given fractions are 221/193,8114/2965
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 221/193,8114/2965, numerators are 221,8114
Denominators are 193,2965
The GCF of 221,8114 is 1 .
LCM of 193,2965 is 572245.
The greatest common factor of 221/193,8114/2965 = [GCF of 221,8114]/[LCM of 193,2965]= 1/572245
Therefore, the GCF of 221/193,8114/2965 is 1/572245.
To find the highest common factor of 221,8114, we have to find the factors of both numbers and list the highest common factor.
The factors of 221 are 1, 13, 17, 221
The factors of 8114 are 1, 2, 4057, 8114
The HCF of 221,8114 is 1.
Lets's calculate GCF of 221,8114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 221,8114 By Matching Biggest Common Factor Method
Now, list down the factors of 221
:1,13,17,221
Now, list down the factors of 8114
:1,2,4057,8114
Greatest Common Factor
We found the factors 221,8114 . The biggest common factor number is the GCF number.
So the greatest common factor 221,8114 is 1.
Lets's calculate LCM of 193,2965
Given numbers has no common factors except 1. So, there LCM is their product i.e 572245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572245
Therefore, the GCF of Fractions 221/193,8114/2965 is 1/572245
Least Common Multiple of 193,2965 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 193,2965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,2965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,2965) x common factors =1 x 1 = 1
LCM(193,2965) = ( 193 × 2965 ) / 1
LCM(193,2965) = 572245 / 1
LCM(193,2965) = 572245
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 221/193, 8114/2965
1. What is the HCF of 221,8114?
The HCF of 221,8114 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 221/193, 8114/2965?
Answer: GCF of Numerators as per given numbers 221/193, 8114/2965 is
GCF of Numerators i.e. for 221,8114 is 1
LCM of denominators i.e. for 193,2965 is 572245.
Thus, GCF of Fractions is 1/572245.Finally, GCF of Fractions for 221/193, 8114/2965 is 1/572245.