GCF of 9054/803, 8409/1307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9054/803, 8409/1307 i.e 3/1049521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9054/803, 8409/1307.
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 9054/803,8409/1307?
Given fractions are 9054/803,8409/1307
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 9054/803,8409/1307, numerators are 9054,8409
Denominators are 803,1307
The GCF of 9054,8409 is 3 .
LCM of 803,1307 is 1049521.
The greatest common factor of 9054/803,8409/1307 = [GCF of 9054,8409]/[LCM of 803,1307]= 3/1049521
Therefore, the GCF of 9054/803,8409/1307 is 3/1049521.
To find the highest common factor of 9054,8409, we have to find the factors of both numbers and list the highest common factor.
The factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054
The factors of 8409 are 1, 3, 2803, 8409
The HCF of 9054,8409 is 3.
Lets's calculate GCF of 9054,8409
| 3 | 9054, 8409 |
| 3018, 2803 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9054,8409 By Matching Biggest Common Factor Method
Now, list down the factors of 9054
:1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Now, list down the factors of 8409
:1,3,2803,8409
Greatest Common Factor
We found the factors 9054,8409 . The biggest common factor number is the GCF number.
So the greatest common factor 9054,8409 is 3.
Lets's calculate LCM of 803,1307
Given numbers has no common factors except 1. So, there LCM is their product i.e 1049521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1049521
Therefore, the GCF of Fractions 9054/803,8409/1307 is 3/1049521
Least Common Multiple of 803,1307 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 803,1307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,1307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,1307) x common factors =1 x 1 = 1
LCM(803,1307) = ( 803 × 1307 ) / 1
LCM(803,1307) = 1049521 / 1
LCM(803,1307) = 1049521
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FAQs on GCF of Fractions of 9054/803, 8409/1307
1. What is the HCF of 9054,8409?
The HCF of 9054,8409 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 9054/803, 8409/1307?
Answer: GCF of Numerators as per given numbers 9054/803, 8409/1307 is
GCF of Numerators i.e. for 9054,8409 is 3
LCM of denominators i.e. for 803,1307 is 1049521.
Thus, GCF of Fractions is 3/1049521.Finally, GCF of Fractions for 9054/803, 8409/1307 is 3/1049521.