GCF of 1089/813, 1287/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1089/813, 1287/404 i.e 99/328452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1089/813, 1287/404.
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 1089/813,1287/404?
Given fractions are 1089/813,1287/404
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 1089/813,1287/404, numerators are 1089,1287
Denominators are 813,404
The GCF of 1089,1287 is 99 .
LCM of 813,404 is 328452.
The greatest common factor of 1089/813,1287/404 = [GCF of 1089,1287]/[LCM of 813,404]= 99/328452
Therefore, the GCF of 1089/813,1287/404 is 99/328452.
To find the highest common factor of 1089,1287, we have to find the factors of both numbers and list the highest common factor.
The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089
The factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287
The HCF of 1089,1287 is 99.
Lets's calculate GCF of 1089,1287
| 3 | 1089, 1287 |
| 3 | 363, 429 |
| 11 | 121, 143 |
| 11, 13 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 1089,1287 By Matching Biggest Common Factor Method
Now, list down the factors of 1089
:1,3,9,11,33,99,121,363,1089
Now, list down the factors of 1287
:1,3,9,11,13,33,39,99,117,143,429,1287
Greatest Common Factor
We found the factors 1089,1287 . The biggest common factor number is the GCF number.
So the greatest common factor 1089,1287 is 99.
Lets's calculate LCM of 813,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 328452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/328452
Therefore, the GCF of Fractions 1089/813,1287/404 is 99/328452
Least Common Multiple of 813,404 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 813,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,404) x common factors =1 x 1 = 1
LCM(813,404) = ( 813 × 404 ) / 1
LCM(813,404) = 328452 / 1
LCM(813,404) = 328452
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FAQs on GCF of Fractions of 1089/813, 1287/404
1. What is the HCF of 1089,1287?
The HCF of 1089,1287 is 99
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 1089/813, 1287/404?
Answer: GCF of Numerators as per given numbers 1089/813, 1287/404 is
GCF of Numerators i.e. for 1089,1287 is 99
LCM of denominators i.e. for 813,404 is 328452.
Thus, GCF of Fractions is 99/328452.Finally, GCF of Fractions for 1089/813, 1287/404 is 99/328452.