GCF of 2685/189, 5459/5814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2685/189, 5459/5814 i.e 1/122094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2685/189, 5459/5814.
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 2685/189,5459/5814?
Given fractions are 2685/189,5459/5814
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 2685/189,5459/5814, numerators are 2685,5459
Denominators are 189,5814
The GCF of 2685,5459 is 1 .
LCM of 189,5814 is 122094.
The greatest common factor of 2685/189,5459/5814 = [GCF of 2685,5459]/[LCM of 189,5814]= 1/122094
Therefore, the GCF of 2685/189,5459/5814 is 1/122094.
To find the highest common factor of 2685,5459, we have to find the factors of both numbers and list the highest common factor.
The factors of 2685 are 1, 3, 5, 15, 179, 537, 895, 2685
The factors of 5459 are 1, 53, 103, 5459
The HCF of 2685,5459 is 1.
Lets's calculate GCF of 2685,5459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2685,5459 By Matching Biggest Common Factor Method
Now, list down the factors of 2685
:1,3,5,15,179,537,895,2685
Now, list down the factors of 5459
:1,53,103,5459
Greatest Common Factor
We found the factors 2685,5459 . The biggest common factor number is the GCF number.
So the greatest common factor 2685,5459 is 1.
Lets's calculate LCM of 189,5814
| 3 | 189, 5814 |
| 3 | 63, 1938 |
| 21, 646 |
∴ So the LCM of the given numbers is 3 x 3 x 21 x 646 = 122094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122094
Therefore, the GCF of Fractions 2685/189,5459/5814 is 1/122094
Least Common Multiple of 189,5814 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 189,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,5814) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(189,5814) x common factors =9 x 1 = 9
LCM(189,5814) = ( 189 × 5814 ) / 9
LCM(189,5814) = 1098846 / 9
LCM(189,5814) = 122094
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FAQs on GCF of Fractions of 2685/189, 5459/5814
1. What is the HCF of 2685,5459?
The HCF of 2685,5459 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 2685/189, 5459/5814?
Answer: GCF of Numerators as per given numbers 2685/189, 5459/5814 is
GCF of Numerators i.e. for 2685,5459 is 1
LCM of denominators i.e. for 189,5814 is 122094.
Thus, GCF of Fractions is 1/122094.Finally, GCF of Fractions for 2685/189, 5459/5814 is 1/122094.