GCF of 4323/660, 2829/6080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4323/660, 2829/6080 i.e 3/200640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4323/660, 2829/6080.
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 4323/660,2829/6080?
Given fractions are 4323/660,2829/6080
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 4323/660,2829/6080, numerators are 4323,2829
Denominators are 660,6080
The GCF of 4323,2829 is 3 .
LCM of 660,6080 is 200640.
The greatest common factor of 4323/660,2829/6080 = [GCF of 4323,2829]/[LCM of 660,6080]= 3/200640
Therefore, the GCF of 4323/660,2829/6080 is 3/200640.
To find the highest common factor of 4323,2829, we have to find the factors of both numbers and list the highest common factor.
The factors of 4323 are 1, 3, 11, 33, 131, 393, 1441, 4323
The factors of 2829 are 1, 3, 23, 41, 69, 123, 943, 2829
The HCF of 4323,2829 is 3.
Lets's calculate GCF of 4323,2829
| 3 | 4323, 2829 |
| 1441, 943 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4323,2829 By Matching Biggest Common Factor Method
Now, list down the factors of 4323
:1,3,11,33,131,393,1441,4323
Now, list down the factors of 2829
:1,3,23,41,69,123,943,2829
Greatest Common Factor
We found the factors 4323,2829 . The biggest common factor number is the GCF number.
So the greatest common factor 4323,2829 is 3.
Lets's calculate LCM of 660,6080
| 2 | 660, 6080 |
| 2 | 330, 3040 |
| 5 | 165, 1520 |
| 33, 304 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 33 x 304 = 200640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/200640
Therefore, the GCF of Fractions 4323/660,2829/6080 is 3/200640
Least Common Multiple of 660,6080 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 660,6080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,6080) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(660,6080) x common factors =20 x 1 = 20
LCM(660,6080) = ( 660 × 6080 ) / 20
LCM(660,6080) = 4012800 / 20
LCM(660,6080) = 200640
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FAQs on GCF of Fractions of 4323/660, 2829/6080
1. What is the HCF of 4323,2829?
The HCF of 4323,2829 is 3
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 4323/660, 2829/6080?
Answer: GCF of Numerators as per given numbers 4323/660, 2829/6080 is
GCF of Numerators i.e. for 4323,2829 is 3
LCM of denominators i.e. for 660,6080 is 200640.
Thus, GCF of Fractions is 3/200640.Finally, GCF of Fractions for 4323/660, 2829/6080 is 3/200640.