GCF of 1323/835, 8360/4551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1323/835, 8360/4551 i.e 1/3800085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1323/835, 8360/4551.
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 1323/835,8360/4551?
Given fractions are 1323/835,8360/4551
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 1323/835,8360/4551, numerators are 1323,8360
Denominators are 835,4551
The GCF of 1323,8360 is 1 .
LCM of 835,4551 is 3800085.
The greatest common factor of 1323/835,8360/4551 = [GCF of 1323,8360]/[LCM of 835,4551]= 1/3800085
Therefore, the GCF of 1323/835,8360/4551 is 1/3800085.
To find the highest common factor of 1323,8360, we have to find the factors of both numbers and list the highest common factor.
The factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323
The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
The HCF of 1323,8360 is 1.
Lets's calculate GCF of 1323,8360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1323,8360 By Matching Biggest Common Factor Method
Now, list down the factors of 1323
:1,3,7,9,21,27,49,63,147,189,441,1323
Now, list down the factors of 8360
:1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Greatest Common Factor
We found the factors 1323,8360 . The biggest common factor number is the GCF number.
So the greatest common factor 1323,8360 is 1.
Lets's calculate LCM of 835,4551
Given numbers has no common factors except 1. So, there LCM is their product i.e 3800085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3800085
Therefore, the GCF of Fractions 1323/835,8360/4551 is 1/3800085
Least Common Multiple of 835,4551 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 835,4551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,4551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,4551) x common factors =1 x 1 = 1
LCM(835,4551) = ( 835 × 4551 ) / 1
LCM(835,4551) = 3800085 / 1
LCM(835,4551) = 3800085
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1323/835, 8360/4551
1. What is the HCF of 1323,8360?
The HCF of 1323,8360 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 1323/835, 8360/4551?
Answer: GCF of Numerators as per given numbers 1323/835, 8360/4551 is
GCF of Numerators i.e. for 1323,8360 is 1
LCM of denominators i.e. for 835,4551 is 3800085.
Thus, GCF of Fractions is 1/3800085.Finally, GCF of Fractions for 1323/835, 8360/4551 is 1/3800085.