GCF of 9144/500, 9628/8669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9144/500, 9628/8669 i.e 4/4334500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9144/500, 9628/8669.
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 9144/500,9628/8669?
Given fractions are 9144/500,9628/8669
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 9144/500,9628/8669, numerators are 9144,9628
Denominators are 500,8669
The GCF of 9144,9628 is 4 .
LCM of 500,8669 is 4334500.
The greatest common factor of 9144/500,9628/8669 = [GCF of 9144,9628]/[LCM of 500,8669]= 4/4334500
Therefore, the GCF of 9144/500,9628/8669 is 4/4334500.
To find the highest common factor of 9144,9628, we have to find the factors of both numbers and list the highest common factor.
The factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144
The factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628
The HCF of 9144,9628 is 4.
Lets's calculate GCF of 9144,9628
| 2 | 9144, 9628 |
| 2 | 4572, 4814 |
| 2286, 2407 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9144,9628 By Matching Biggest Common Factor Method
Now, list down the factors of 9144
:1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144
Now, list down the factors of 9628
:1,2,4,29,58,83,116,166,332,2407,4814,9628
Greatest Common Factor
We found the factors 9144,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 9144,9628 is 4.
Lets's calculate LCM of 500,8669
Given numbers has no common factors except 1. So, there LCM is their product i.e 4334500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4334500
Therefore, the GCF of Fractions 9144/500,9628/8669 is 4/4334500
Least Common Multiple of 500,8669 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 500,8669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,8669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,8669) x common factors =1 x 1 = 1
LCM(500,8669) = ( 500 × 8669 ) / 1
LCM(500,8669) = 4334500 / 1
LCM(500,8669) = 4334500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9144/500, 9628/8669
1. What is the HCF of 9144,9628?
The HCF of 9144,9628 is 4
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 9144/500, 9628/8669?
Answer: GCF of Numerators as per given numbers 9144/500, 9628/8669 is
GCF of Numerators i.e. for 9144,9628 is 4
LCM of denominators i.e. for 500,8669 is 4334500.
Thus, GCF of Fractions is 4/4334500.Finally, GCF of Fractions for 9144/500, 9628/8669 is 4/4334500.