GCF of 2538/992, 1664/2121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2538/992, 1664/2121 i.e 2/2104032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2538/992, 1664/2121.
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 2538/992,1664/2121?
Given fractions are 2538/992,1664/2121
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 2538/992,1664/2121, numerators are 2538,1664
Denominators are 992,2121
The GCF of 2538,1664 is 2 .
LCM of 992,2121 is 2104032.
The greatest common factor of 2538/992,1664/2121 = [GCF of 2538,1664]/[LCM of 992,2121]= 2/2104032
Therefore, the GCF of 2538/992,1664/2121 is 2/2104032.
To find the highest common factor of 2538,1664, we have to find the factors of both numbers and list the highest common factor.
The factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664
The HCF of 2538,1664 is 2.
Lets's calculate GCF of 2538,1664
| 2 | 2538, 1664 |
| 1269, 832 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2538,1664 By Matching Biggest Common Factor Method
Now, list down the factors of 2538
:1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Now, list down the factors of 1664
:1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Greatest Common Factor
We found the factors 2538,1664 . The biggest common factor number is the GCF number.
So the greatest common factor 2538,1664 is 2.
Lets's calculate LCM of 992,2121
Given numbers has no common factors except 1. So, there LCM is their product i.e 2104032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2104032
Therefore, the GCF of Fractions 2538/992,1664/2121 is 2/2104032
Least Common Multiple of 992,2121 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 992,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,2121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,2121) x common factors =1 x 1 = 1
LCM(992,2121) = ( 992 × 2121 ) / 1
LCM(992,2121) = 2104032 / 1
LCM(992,2121) = 2104032
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FAQs on GCF of Fractions of 2538/992, 1664/2121
1. What is the HCF of 2538,1664?
The HCF of 2538,1664 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 2538/992, 1664/2121?
Answer: GCF of Numerators as per given numbers 2538/992, 1664/2121 is
GCF of Numerators i.e. for 2538,1664 is 2
LCM of denominators i.e. for 992,2121 is 2104032.
Thus, GCF of Fractions is 2/2104032.Finally, GCF of Fractions for 2538/992, 1664/2121 is 2/2104032.