GCF of 8845/496, 8586/968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8845/496, 8586/968 i.e 1/60016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8845/496, 8586/968.
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 8845/496,8586/968?
Given fractions are 8845/496,8586/968
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 8845/496,8586/968, numerators are 8845,8586
Denominators are 496,968
The GCF of 8845,8586 is 1 .
LCM of 496,968 is 60016.
The greatest common factor of 8845/496,8586/968 = [GCF of 8845,8586]/[LCM of 496,968]= 1/60016
Therefore, the GCF of 8845/496,8586/968 is 1/60016.
To find the highest common factor of 8845,8586, we have to find the factors of both numbers and list the highest common factor.
The factors of 8845 are 1, 5, 29, 61, 145, 305, 1769, 8845
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The HCF of 8845,8586 is 1.
Lets's calculate GCF of 8845,8586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8845,8586 By Matching Biggest Common Factor Method
Now, list down the factors of 8845
:1,5,29,61,145,305,1769,8845
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Greatest Common Factor
We found the factors 8845,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 8845,8586 is 1.
Lets's calculate LCM of 496,968
| 2 | 496, 968 |
| 2 | 248, 484 |
| 2 | 124, 242 |
| 62, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 62 x 121 = 60016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60016
Therefore, the GCF of Fractions 8845/496,8586/968 is 1/60016
Least Common Multiple of 496,968 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 496,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(496,968) x common factors =8 x 1 = 8
LCM(496,968) = ( 496 × 968 ) / 8
LCM(496,968) = 480128 / 8
LCM(496,968) = 60016
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FAQs on GCF of Fractions of 8845/496, 8586/968
1. What is the HCF of 8845,8586?
The HCF of 8845,8586 is 1
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 8845/496, 8586/968?
Answer: GCF of Numerators as per given numbers 8845/496, 8586/968 is
GCF of Numerators i.e. for 8845,8586 is 1
LCM of denominators i.e. for 496,968 is 60016.
Thus, GCF of Fractions is 1/60016.Finally, GCF of Fractions for 8845/496, 8586/968 is 1/60016.