GCF of 8644/745, 9213/2865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8644/745, 9213/2865 i.e 1/426885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8644/745, 9213/2865.
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 8644/745,9213/2865?
Given fractions are 8644/745,9213/2865
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 8644/745,9213/2865, numerators are 8644,9213
Denominators are 745,2865
The GCF of 8644,9213 is 1 .
LCM of 745,2865 is 426885.
The greatest common factor of 8644/745,9213/2865 = [GCF of 8644,9213]/[LCM of 745,2865]= 1/426885
Therefore, the GCF of 8644/745,9213/2865 is 1/426885.
To find the highest common factor of 8644,9213, we have to find the factors of both numbers and list the highest common factor.
The factors of 8644 are 1, 2, 4, 2161, 4322, 8644
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The HCF of 8644,9213 is 1.
Lets's calculate GCF of 8644,9213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8644,9213 By Matching Biggest Common Factor Method
Now, list down the factors of 8644
:1,2,4,2161,4322,8644
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Greatest Common Factor
We found the factors 8644,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 8644,9213 is 1.
Lets's calculate LCM of 745,2865
| 5 | 745, 2865 |
| 149, 573 |
∴ So the LCM of the given numbers is 5 x 149 x 573 = 426885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426885
Therefore, the GCF of Fractions 8644/745,9213/2865 is 1/426885
Least Common Multiple of 745,2865 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 745,2865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,2865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(745,2865) x common factors =5 x 1 = 5
LCM(745,2865) = ( 745 × 2865 ) / 5
LCM(745,2865) = 2134425 / 5
LCM(745,2865) = 426885
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FAQs on GCF of Fractions of 8644/745, 9213/2865
1. What is the HCF of 8644,9213?
The HCF of 8644,9213 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 8644/745, 9213/2865?
Answer: GCF of Numerators as per given numbers 8644/745, 9213/2865 is
GCF of Numerators i.e. for 8644,9213 is 1
LCM of denominators i.e. for 745,2865 is 426885.
Thus, GCF of Fractions is 1/426885.Finally, GCF of Fractions for 8644/745, 9213/2865 is 1/426885.