GCF of 8565/226, 9240/8821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8565/226, 9240/8821 i.e 15/1993546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8565/226, 9240/8821.
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 8565/226,9240/8821?
Given fractions are 8565/226,9240/8821
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 8565/226,9240/8821, numerators are 8565,9240
Denominators are 226,8821
The GCF of 8565,9240 is 15 .
LCM of 226,8821 is 1993546.
The greatest common factor of 8565/226,9240/8821 = [GCF of 8565,9240]/[LCM of 226,8821]= 15/1993546
Therefore, the GCF of 8565/226,9240/8821 is 15/1993546.
To find the highest common factor of 8565,9240, we have to find the factors of both numbers and list the highest common factor.
The factors of 8565 are 1, 3, 5, 15, 571, 1713, 2855, 8565
The factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240
The HCF of 8565,9240 is 15.
Lets's calculate GCF of 8565,9240
| 3 | 8565, 9240 |
| 5 | 2855, 3080 |
| 571, 616 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8565,9240 By Matching Biggest Common Factor Method
Now, list down the factors of 8565
:1,3,5,15,571,1713,2855,8565
Now, list down the factors of 9240
:1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240
Greatest Common Factor
We found the factors 8565,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 8565,9240 is 15.
Lets's calculate LCM of 226,8821
Given numbers has no common factors except 1. So, there LCM is their product i.e 1993546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1993546
Therefore, the GCF of Fractions 8565/226,9240/8821 is 15/1993546
Least Common Multiple of 226,8821 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 226,8821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,8821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,8821) x common factors =1 x 1 = 1
LCM(226,8821) = ( 226 × 8821 ) / 1
LCM(226,8821) = 1993546 / 1
LCM(226,8821) = 1993546
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8565/226, 9240/8821
1. What is the HCF of 8565,9240?
The HCF of 8565,9240 is 15
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 8565/226, 9240/8821?
Answer: GCF of Numerators as per given numbers 8565/226, 9240/8821 is
GCF of Numerators i.e. for 8565,9240 is 15
LCM of denominators i.e. for 226,8821 is 1993546.
Thus, GCF of Fractions is 15/1993546.Finally, GCF of Fractions for 8565/226, 9240/8821 is 15/1993546.