GCF of 233/104, 8370/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 233/104, 8370/319 i.e 1/33176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/104, 8370/319.
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 233/104,8370/319?
Given fractions are 233/104,8370/319
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 233/104,8370/319, numerators are 233,8370
Denominators are 104,319
The GCF of 233,8370 is 1 .
LCM of 104,319 is 33176.
The greatest common factor of 233/104,8370/319 = [GCF of 233,8370]/[LCM of 104,319]= 1/33176
Therefore, the GCF of 233/104,8370/319 is 1/33176.
To find the highest common factor of 233,8370, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The HCF of 233,8370 is 1.
Lets's calculate GCF of 233,8370
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 233,8370 By Matching Biggest Common Factor Method
Now, list down the factors of 233
:1,233
Now, list down the factors of 8370
:1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Greatest Common Factor
We found the factors 233,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 233,8370 is 1.
Lets's calculate LCM of 104,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 33176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33176
Therefore, the GCF of Fractions 233/104,8370/319 is 1/33176
Least Common Multiple of 104,319 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 104,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,319) x common factors =1 x 1 = 1
LCM(104,319) = ( 104 × 319 ) / 1
LCM(104,319) = 33176 / 1
LCM(104,319) = 33176
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 233/104, 8370/319
1. What is the HCF of 233,8370?
The HCF of 233,8370 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 233/104, 8370/319?
Answer: GCF of Numerators as per given numbers 233/104, 8370/319 is
GCF of Numerators i.e. for 233,8370 is 1
LCM of denominators i.e. for 104,319 is 33176.
Thus, GCF of Fractions is 1/33176.Finally, GCF of Fractions for 233/104, 8370/319 is 1/33176.