GCF of 5589/673, 9864/1949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5589/673, 9864/1949 i.e 9/1311677 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5589/673, 9864/1949.
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 5589/673,9864/1949?
Given fractions are 5589/673,9864/1949
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 5589/673,9864/1949, numerators are 5589,9864
Denominators are 673,1949
The GCF of 5589,9864 is 9 .
LCM of 673,1949 is 1311677.
The greatest common factor of 5589/673,9864/1949 = [GCF of 5589,9864]/[LCM of 673,1949]= 9/1311677
Therefore, the GCF of 5589/673,9864/1949 is 9/1311677.
To find the highest common factor of 5589,9864, we have to find the factors of both numbers and list the highest common factor.
The factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864
The HCF of 5589,9864 is 9.
Lets's calculate GCF of 5589,9864
| 3 | 5589, 9864 |
| 3 | 1863, 3288 |
| 621, 1096 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5589,9864 By Matching Biggest Common Factor Method
Now, list down the factors of 5589
:1,3,9,23,27,69,81,207,243,621,1863,5589
Now, list down the factors of 9864
:1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Greatest Common Factor
We found the factors 5589,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 5589,9864 is 9.
Lets's calculate LCM of 673,1949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1311677
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1311677
Therefore, the GCF of Fractions 5589/673,9864/1949 is 9/1311677
Least Common Multiple of 673,1949 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 673,1949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,1949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,1949) x common factors =1 x 1 = 1
LCM(673,1949) = ( 673 × 1949 ) / 1
LCM(673,1949) = 1311677 / 1
LCM(673,1949) = 1311677
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FAQs on GCF of Fractions of 5589/673, 9864/1949
1. What is the HCF of 5589,9864?
The HCF of 5589,9864 is 9
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 5589/673, 9864/1949?
Answer: GCF of Numerators as per given numbers 5589/673, 9864/1949 is
GCF of Numerators i.e. for 5589,9864 is 9
LCM of denominators i.e. for 673,1949 is 1311677.
Thus, GCF of Fractions is 9/1311677.Finally, GCF of Fractions for 5589/673, 9864/1949 is 9/1311677.