GCF of 866/585, 488/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 866/585, 488/418 i.e 2/244530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/585, 488/418.
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 866/585,488/418?
Given fractions are 866/585,488/418
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 866/585,488/418, numerators are 866,488
Denominators are 585,418
The GCF of 866,488 is 2 .
LCM of 585,418 is 244530.
The greatest common factor of 866/585,488/418 = [GCF of 866,488]/[LCM of 585,418]= 2/244530
Therefore, the GCF of 866/585,488/418 is 2/244530.
To find the highest common factor of 866,488, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The HCF of 866,488 is 2.
Lets's calculate GCF of 866,488
| 2 | 866, 488 |
| 433, 244 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 866,488 By Matching Biggest Common Factor Method
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 866,488 . The biggest common factor number is the GCF number.
So the greatest common factor 866,488 is 2.
Lets's calculate LCM of 585,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 244530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/244530
Therefore, the GCF of Fractions 866/585,488/418 is 2/244530
Least Common Multiple of 585,418 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 585,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,418) x common factors =1 x 1 = 1
LCM(585,418) = ( 585 × 418 ) / 1
LCM(585,418) = 244530 / 1
LCM(585,418) = 244530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 866/585, 488/418
1. What is the HCF of 866,488?
The HCF of 866,488 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 866/585, 488/418?
Answer: GCF of Numerators as per given numbers 866/585, 488/418 is
GCF of Numerators i.e. for 866,488 is 2
LCM of denominators i.e. for 585,418 is 244530.
Thus, GCF of Fractions is 2/244530.Finally, GCF of Fractions for 866/585, 488/418 is 2/244530.