GCF of 3483/420, 6005/5722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3483/420, 6005/5722 i.e 1/1201620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3483/420, 6005/5722.
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 3483/420,6005/5722?
Given fractions are 3483/420,6005/5722
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 3483/420,6005/5722, numerators are 3483,6005
Denominators are 420,5722
The GCF of 3483,6005 is 1 .
LCM of 420,5722 is 1201620.
The greatest common factor of 3483/420,6005/5722 = [GCF of 3483,6005]/[LCM of 420,5722]= 1/1201620
Therefore, the GCF of 3483/420,6005/5722 is 1/1201620.
To find the highest common factor of 3483,6005, we have to find the factors of both numbers and list the highest common factor.
The factors of 3483 are 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483
The factors of 6005 are 1, 5, 1201, 6005
The HCF of 3483,6005 is 1.
Lets's calculate GCF of 3483,6005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3483,6005 By Matching Biggest Common Factor Method
Now, list down the factors of 3483
:1,3,9,27,43,81,129,387,1161,3483
Now, list down the factors of 6005
:1,5,1201,6005
Greatest Common Factor
We found the factors 3483,6005 . The biggest common factor number is the GCF number.
So the greatest common factor 3483,6005 is 1.
Lets's calculate LCM of 420,5722
| 2 | 420, 5722 |
| 210, 2861 |
∴ So the LCM of the given numbers is 2 x 210 x 2861 = 1201620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1201620
Therefore, the GCF of Fractions 3483/420,6005/5722 is 1/1201620
Least Common Multiple of 420,5722 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 420,5722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,5722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(420,5722) x common factors =2 x 1 = 2
LCM(420,5722) = ( 420 × 5722 ) / 2
LCM(420,5722) = 2403240 / 2
LCM(420,5722) = 1201620
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FAQs on GCF of Fractions of 3483/420, 6005/5722
1. What is the HCF of 3483,6005?
The HCF of 3483,6005 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 3483/420, 6005/5722?
Answer: GCF of Numerators as per given numbers 3483/420, 6005/5722 is
GCF of Numerators i.e. for 3483,6005 is 1
LCM of denominators i.e. for 420,5722 is 1201620.
Thus, GCF of Fractions is 1/1201620.Finally, GCF of Fractions for 3483/420, 6005/5722 is 1/1201620.