GCF of 8986/945, 3036/591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8986/945, 3036/591 i.e 2/186165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8986/945, 3036/591.
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 8986/945,3036/591?
Given fractions are 8986/945,3036/591
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 8986/945,3036/591, numerators are 8986,3036
Denominators are 945,591
The GCF of 8986,3036 is 2 .
LCM of 945,591 is 186165.
The greatest common factor of 8986/945,3036/591 = [GCF of 8986,3036]/[LCM of 945,591]= 2/186165
Therefore, the GCF of 8986/945,3036/591 is 2/186165.
To find the highest common factor of 8986,3036, we have to find the factors of both numbers and list the highest common factor.
The factors of 8986 are 1, 2, 4493, 8986
The factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036
The HCF of 8986,3036 is 2.
Lets's calculate GCF of 8986,3036
| 2 | 8986, 3036 |
| 4493, 1518 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8986,3036 By Matching Biggest Common Factor Method
Now, list down the factors of 8986
:1,2,4493,8986
Now, list down the factors of 3036
:1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036
Greatest Common Factor
We found the factors 8986,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 8986,3036 is 2.
Lets's calculate LCM of 945,591
| 3 | 945, 591 |
| 315, 197 |
∴ So the LCM of the given numbers is 3 x 315 x 197 = 186165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186165
Therefore, the GCF of Fractions 8986/945,3036/591 is 2/186165
Least Common Multiple of 945,591 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 945,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(945,591) x common factors =3 x 1 = 3
LCM(945,591) = ( 945 × 591 ) / 3
LCM(945,591) = 558495 / 3
LCM(945,591) = 186165
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FAQs on GCF of Fractions of 8986/945, 3036/591
1. What is the HCF of 8986,3036?
The HCF of 8986,3036 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 8986/945, 3036/591?
Answer: GCF of Numerators as per given numbers 8986/945, 3036/591 is
GCF of Numerators i.e. for 8986,3036 is 2
LCM of denominators i.e. for 945,591 is 186165.
Thus, GCF of Fractions is 2/186165.Finally, GCF of Fractions for 8986/945, 3036/591 is 2/186165.