GCF of 8510/172, 9576/9110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8510/172, 9576/9110 i.e 2/783460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8510/172, 9576/9110.
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 8510/172,9576/9110?
Given fractions are 8510/172,9576/9110
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 8510/172,9576/9110, numerators are 8510,9576
Denominators are 172,9110
The GCF of 8510,9576 is 2 .
LCM of 172,9110 is 783460.
The greatest common factor of 8510/172,9576/9110 = [GCF of 8510,9576]/[LCM of 172,9110]= 2/783460
Therefore, the GCF of 8510/172,9576/9110 is 2/783460.
To find the highest common factor of 8510,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The HCF of 8510,9576 is 2.
Lets's calculate GCF of 8510,9576
| 2 | 8510, 9576 |
| 4255, 4788 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8510,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 8510
:1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 8510,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 8510,9576 is 2.
Lets's calculate LCM of 172,9110
| 2 | 172, 9110 |
| 86, 4555 |
∴ So the LCM of the given numbers is 2 x 86 x 4555 = 783460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/783460
Therefore, the GCF of Fractions 8510/172,9576/9110 is 2/783460
Least Common Multiple of 172,9110 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 172,9110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,9110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,9110) x common factors =2 x 1 = 2
LCM(172,9110) = ( 172 × 9110 ) / 2
LCM(172,9110) = 1566920 / 2
LCM(172,9110) = 783460
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8510/172, 9576/9110
1. What is the HCF of 8510,9576?
The HCF of 8510,9576 is 2
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 8510/172, 9576/9110?
Answer: GCF of Numerators as per given numbers 8510/172, 9576/9110 is
GCF of Numerators i.e. for 8510,9576 is 2
LCM of denominators i.e. for 172,9110 is 783460.
Thus, GCF of Fractions is 2/783460.Finally, GCF of Fractions for 8510/172, 9576/9110 is 2/783460.