GCF of 4989/264, 1300/1905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4989/264, 1300/1905 i.e 1/167640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4989/264, 1300/1905.
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 4989/264,1300/1905?
Given fractions are 4989/264,1300/1905
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 4989/264,1300/1905, numerators are 4989,1300
Denominators are 264,1905
The GCF of 4989,1300 is 1 .
LCM of 264,1905 is 167640.
The greatest common factor of 4989/264,1300/1905 = [GCF of 4989,1300]/[LCM of 264,1905]= 1/167640
Therefore, the GCF of 4989/264,1300/1905 is 1/167640.
To find the highest common factor of 4989,1300, we have to find the factors of both numbers and list the highest common factor.
The factors of 4989 are 1, 3, 1663, 4989
The factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300
The HCF of 4989,1300 is 1.
Lets's calculate GCF of 4989,1300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4989,1300 By Matching Biggest Common Factor Method
Now, list down the factors of 4989
:1,3,1663,4989
Now, list down the factors of 1300
:1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300
Greatest Common Factor
We found the factors 4989,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 4989,1300 is 1.
Lets's calculate LCM of 264,1905
| 3 | 264, 1905 |
| 88, 635 |
∴ So the LCM of the given numbers is 3 x 88 x 635 = 167640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167640
Therefore, the GCF of Fractions 4989/264,1300/1905 is 1/167640
Least Common Multiple of 264,1905 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 264,1905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,1905) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(264,1905) x common factors =3 x 1 = 3
LCM(264,1905) = ( 264 × 1905 ) / 3
LCM(264,1905) = 502920 / 3
LCM(264,1905) = 167640
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FAQs on GCF of Fractions of 4989/264, 1300/1905
1. What is the HCF of 4989,1300?
The HCF of 4989,1300 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 4989/264, 1300/1905?
Answer: GCF of Numerators as per given numbers 4989/264, 1300/1905 is
GCF of Numerators i.e. for 4989,1300 is 1
LCM of denominators i.e. for 264,1905 is 167640.
Thus, GCF of Fractions is 1/167640.Finally, GCF of Fractions for 4989/264, 1300/1905 is 1/167640.