GCF of 3821/539, 4290/3488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3821/539, 4290/3488 i.e 1/1880032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3821/539, 4290/3488.
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 3821/539,4290/3488?
Given fractions are 3821/539,4290/3488
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 3821/539,4290/3488, numerators are 3821,4290
Denominators are 539,3488
The GCF of 3821,4290 is 1 .
LCM of 539,3488 is 1880032.
The greatest common factor of 3821/539,4290/3488 = [GCF of 3821,4290]/[LCM of 539,3488]= 1/1880032
Therefore, the GCF of 3821/539,4290/3488 is 1/1880032.
To find the highest common factor of 3821,4290, we have to find the factors of both numbers and list the highest common factor.
The factors of 3821 are 1, 3821
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The HCF of 3821,4290 is 1.
Lets's calculate GCF of 3821,4290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3821,4290 By Matching Biggest Common Factor Method
Now, list down the factors of 3821
:1,3821
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Greatest Common Factor
We found the factors 3821,4290 . The biggest common factor number is the GCF number.
So the greatest common factor 3821,4290 is 1.
Lets's calculate LCM of 539,3488
Given numbers has no common factors except 1. So, there LCM is their product i.e 1880032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1880032
Therefore, the GCF of Fractions 3821/539,4290/3488 is 1/1880032
Least Common Multiple of 539,3488 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 539,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,3488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,3488) x common factors =1 x 1 = 1
LCM(539,3488) = ( 539 × 3488 ) / 1
LCM(539,3488) = 1880032 / 1
LCM(539,3488) = 1880032
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FAQs on GCF of Fractions of 3821/539, 4290/3488
1. What is the HCF of 3821,4290?
The HCF of 3821,4290 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 3821/539, 4290/3488?
Answer: GCF of Numerators as per given numbers 3821/539, 4290/3488 is
GCF of Numerators i.e. for 3821,4290 is 1
LCM of denominators i.e. for 539,3488 is 1880032.
Thus, GCF of Fractions is 1/1880032.Finally, GCF of Fractions for 3821/539, 4290/3488 is 1/1880032.