GCF of 3585/827, 3576/5168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3585/827, 3576/5168 i.e 3/4273936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3585/827, 3576/5168.
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 3585/827,3576/5168?
Given fractions are 3585/827,3576/5168
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 3585/827,3576/5168, numerators are 3585,3576
Denominators are 827,5168
The GCF of 3585,3576 is 3 .
LCM of 827,5168 is 4273936.
The greatest common factor of 3585/827,3576/5168 = [GCF of 3585,3576]/[LCM of 827,5168]= 3/4273936
Therefore, the GCF of 3585/827,3576/5168 is 3/4273936.
To find the highest common factor of 3585,3576, we have to find the factors of both numbers and list the highest common factor.
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585
The factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576
The HCF of 3585,3576 is 3.
Lets's calculate GCF of 3585,3576
| 3 | 3585, 3576 |
| 1195, 1192 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3585,3576 By Matching Biggest Common Factor Method
Now, list down the factors of 3585
:1,3,5,15,239,717,1195,3585
Now, list down the factors of 3576
:1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576
Greatest Common Factor
We found the factors 3585,3576 . The biggest common factor number is the GCF number.
So the greatest common factor 3585,3576 is 3.
Lets's calculate LCM of 827,5168
Given numbers has no common factors except 1. So, there LCM is their product i.e 4273936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4273936
Therefore, the GCF of Fractions 3585/827,3576/5168 is 3/4273936
Least Common Multiple of 827,5168 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 827,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,5168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,5168) x common factors =1 x 1 = 1
LCM(827,5168) = ( 827 × 5168 ) / 1
LCM(827,5168) = 4273936 / 1
LCM(827,5168) = 4273936
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3585/827, 3576/5168
1. What is the HCF of 3585,3576?
The HCF of 3585,3576 is 3
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 3585/827, 3576/5168?
Answer: GCF of Numerators as per given numbers 3585/827, 3576/5168 is
GCF of Numerators i.e. for 3585,3576 is 3
LCM of denominators i.e. for 827,5168 is 4273936.
Thus, GCF of Fractions is 3/4273936.Finally, GCF of Fractions for 3585/827, 3576/5168 is 3/4273936.