GCF of 8586/865, 1980/7946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8586/865, 1980/7946 i.e 18/6873290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8586/865, 1980/7946.
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 8586/865,1980/7946?
Given fractions are 8586/865,1980/7946
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 8586/865,1980/7946, numerators are 8586,1980
Denominators are 865,7946
The GCF of 8586,1980 is 18 .
LCM of 865,7946 is 6873290.
The greatest common factor of 8586/865,1980/7946 = [GCF of 8586,1980]/[LCM of 865,7946]= 18/6873290
Therefore, the GCF of 8586/865,1980/7946 is 18/6873290.
To find the highest common factor of 8586,1980, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980
The HCF of 8586,1980 is 18.
Lets's calculate GCF of 8586,1980
| 2 | 8586, 1980 |
| 3 | 4293, 990 |
| 3 | 1431, 330 |
| 477, 110 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 8586,1980 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1980
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980
Greatest Common Factor
We found the factors 8586,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 8586,1980 is 18.
Lets's calculate LCM of 865,7946
Given numbers has no common factors except 1. So, there LCM is their product i.e 6873290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/6873290
Therefore, the GCF of Fractions 8586/865,1980/7946 is 18/6873290
Least Common Multiple of 865,7946 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 865,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,7946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,7946) x common factors =1 x 1 = 1
LCM(865,7946) = ( 865 × 7946 ) / 1
LCM(865,7946) = 6873290 / 1
LCM(865,7946) = 6873290
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FAQs on GCF of Fractions of 8586/865, 1980/7946
1. What is the HCF of 8586,1980?
The HCF of 8586,1980 is 18
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 8586/865, 1980/7946?
Answer: GCF of Numerators as per given numbers 8586/865, 1980/7946 is
GCF of Numerators i.e. for 8586,1980 is 18
LCM of denominators i.e. for 865,7946 is 6873290.
Thus, GCF of Fractions is 18/6873290.Finally, GCF of Fractions for 8586/865, 1980/7946 is 18/6873290.