GCF of 2289/445, 1445/5725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2289/445, 1445/5725 i.e 1/509525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2289/445, 1445/5725.
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 2289/445,1445/5725?
Given fractions are 2289/445,1445/5725
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 2289/445,1445/5725, numerators are 2289,1445
Denominators are 445,5725
The GCF of 2289,1445 is 1 .
LCM of 445,5725 is 509525.
The greatest common factor of 2289/445,1445/5725 = [GCF of 2289,1445]/[LCM of 445,5725]= 1/509525
Therefore, the GCF of 2289/445,1445/5725 is 1/509525.
To find the highest common factor of 2289,1445, we have to find the factors of both numbers and list the highest common factor.
The factors of 2289 are 1, 3, 7, 21, 109, 327, 763, 2289
The factors of 1445 are 1, 5, 17, 85, 289, 1445
The HCF of 2289,1445 is 1.
Lets's calculate GCF of 2289,1445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2289,1445 By Matching Biggest Common Factor Method
Now, list down the factors of 2289
:1,3,7,21,109,327,763,2289
Now, list down the factors of 1445
:1,5,17,85,289,1445
Greatest Common Factor
We found the factors 2289,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 2289,1445 is 1.
Lets's calculate LCM of 445,5725
| 5 | 445, 5725 |
| 89, 1145 |
∴ So the LCM of the given numbers is 5 x 89 x 1145 = 509525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509525
Therefore, the GCF of Fractions 2289/445,1445/5725 is 1/509525
Least Common Multiple of 445,5725 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 445,5725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,5725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(445,5725) x common factors =5 x 1 = 5
LCM(445,5725) = ( 445 × 5725 ) / 5
LCM(445,5725) = 2547625 / 5
LCM(445,5725) = 509525
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FAQs on GCF of Fractions of 2289/445, 1445/5725
1. What is the HCF of 2289,1445?
The HCF of 2289,1445 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 2289/445, 1445/5725?
Answer: GCF of Numerators as per given numbers 2289/445, 1445/5725 is
GCF of Numerators i.e. for 2289,1445 is 1
LCM of denominators i.e. for 445,5725 is 509525.
Thus, GCF of Fractions is 1/509525.Finally, GCF of Fractions for 2289/445, 1445/5725 is 1/509525.