GCF of 8607/281, 1323/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8607/281, 1323/456 i.e 3/128136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8607/281, 1323/456.
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 8607/281,1323/456?
Given fractions are 8607/281,1323/456
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 8607/281,1323/456, numerators are 8607,1323
Denominators are 281,456
The GCF of 8607,1323 is 3 .
LCM of 281,456 is 128136.
The greatest common factor of 8607/281,1323/456 = [GCF of 8607,1323]/[LCM of 281,456]= 3/128136
Therefore, the GCF of 8607/281,1323/456 is 3/128136.
To find the highest common factor of 8607,1323, we have to find the factors of both numbers and list the highest common factor.
The factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607
The factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323
The HCF of 8607,1323 is 3.
Lets's calculate GCF of 8607,1323
| 3 | 8607, 1323 |
| 2869, 441 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8607,1323 By Matching Biggest Common Factor Method
Now, list down the factors of 8607
:1,3,19,57,151,453,2869,8607
Now, list down the factors of 1323
:1,3,7,9,21,27,49,63,147,189,441,1323
Greatest Common Factor
We found the factors 8607,1323 . The biggest common factor number is the GCF number.
So the greatest common factor 8607,1323 is 3.
Lets's calculate LCM of 281,456
Given numbers has no common factors except 1. So, there LCM is their product i.e 128136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128136
Therefore, the GCF of Fractions 8607/281,1323/456 is 3/128136
Least Common Multiple of 281,456 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 281,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,456) x common factors =1 x 1 = 1
LCM(281,456) = ( 281 × 456 ) / 1
LCM(281,456) = 128136 / 1
LCM(281,456) = 128136
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8607/281, 1323/456
1. What is the HCF of 8607,1323?
The HCF of 8607,1323 is 3
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 8607/281, 1323/456?
Answer: GCF of Numerators as per given numbers 8607/281, 1323/456 is
GCF of Numerators i.e. for 8607,1323 is 3
LCM of denominators i.e. for 281,456 is 128136.
Thus, GCF of Fractions is 3/128136.Finally, GCF of Fractions for 8607/281, 1323/456 is 3/128136.