GCF of 1192/577, 8249/515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1192/577, 8249/515 i.e 1/297155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1192/577, 8249/515.
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 1192/577,8249/515?
Given fractions are 1192/577,8249/515
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 1192/577,8249/515, numerators are 1192,8249
Denominators are 577,515
The GCF of 1192,8249 is 1 .
LCM of 577,515 is 297155.
The greatest common factor of 1192/577,8249/515 = [GCF of 1192,8249]/[LCM of 577,515]= 1/297155
Therefore, the GCF of 1192/577,8249/515 is 1/297155.
To find the highest common factor of 1192,8249, we have to find the factors of both numbers and list the highest common factor.
The factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192
The factors of 8249 are 1, 73, 113, 8249
The HCF of 1192,8249 is 1.
Lets's calculate GCF of 1192,8249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1192,8249 By Matching Biggest Common Factor Method
Now, list down the factors of 1192
:1,2,4,8,149,298,596,1192
Now, list down the factors of 8249
:1,73,113,8249
Greatest Common Factor
We found the factors 1192,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 1192,8249 is 1.
Lets's calculate LCM of 577,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 297155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297155
Therefore, the GCF of Fractions 1192/577,8249/515 is 1/297155
Least Common Multiple of 577,515 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 577,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,515) x common factors =1 x 1 = 1
LCM(577,515) = ( 577 × 515 ) / 1
LCM(577,515) = 297155 / 1
LCM(577,515) = 297155
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1192/577, 8249/515
1. What is the HCF of 1192,8249?
The HCF of 1192,8249 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 1192/577, 8249/515?
Answer: GCF of Numerators as per given numbers 1192/577, 8249/515 is
GCF of Numerators i.e. for 1192,8249 is 1
LCM of denominators i.e. for 577,515 is 297155.
Thus, GCF of Fractions is 1/297155.Finally, GCF of Fractions for 1192/577, 8249/515 is 1/297155.