GCF of 2122/264, 1836/9036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2122/264, 1836/9036 i.e 2/198792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2122/264, 1836/9036.
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 2122/264,1836/9036?
Given fractions are 2122/264,1836/9036
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 2122/264,1836/9036, numerators are 2122,1836
Denominators are 264,9036
The GCF of 2122,1836 is 2 .
LCM of 264,9036 is 198792.
The greatest common factor of 2122/264,1836/9036 = [GCF of 2122,1836]/[LCM of 264,9036]= 2/198792
Therefore, the GCF of 2122/264,1836/9036 is 2/198792.
To find the highest common factor of 2122,1836, we have to find the factors of both numbers and list the highest common factor.
The factors of 2122 are 1, 2, 1061, 2122
The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836
The HCF of 2122,1836 is 2.
Lets's calculate GCF of 2122,1836
| 2 | 2122, 1836 |
| 1061, 918 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2122,1836 By Matching Biggest Common Factor Method
Now, list down the factors of 2122
:1,2,1061,2122
Now, list down the factors of 1836
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Greatest Common Factor
We found the factors 2122,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 2122,1836 is 2.
Lets's calculate LCM of 264,9036
| 2 | 264, 9036 |
| 2 | 132, 4518 |
| 3 | 66, 2259 |
| 22, 753 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 22 x 753 = 198792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198792
Therefore, the GCF of Fractions 2122/264,1836/9036 is 2/198792
Least Common Multiple of 264,9036 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 264,9036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,9036) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(264,9036) x common factors =12 x 1 = 12
LCM(264,9036) = ( 264 × 9036 ) / 12
LCM(264,9036) = 2385504 / 12
LCM(264,9036) = 198792
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FAQs on GCF of Fractions of 2122/264, 1836/9036
1. What is the HCF of 2122,1836?
The HCF of 2122,1836 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 2122/264, 1836/9036?
Answer: GCF of Numerators as per given numbers 2122/264, 1836/9036 is
GCF of Numerators i.e. for 2122,1836 is 2
LCM of denominators i.e. for 264,9036 is 198792.
Thus, GCF of Fractions is 2/198792.Finally, GCF of Fractions for 2122/264, 1836/9036 is 2/198792.