GCF of 3264/361, 1931/5619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3264/361, 1931/5619 i.e 1/2028459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3264/361, 1931/5619.
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 3264/361,1931/5619?
Given fractions are 3264/361,1931/5619
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 3264/361,1931/5619, numerators are 3264,1931
Denominators are 361,5619
The GCF of 3264,1931 is 1 .
LCM of 361,5619 is 2028459.
The greatest common factor of 3264/361,1931/5619 = [GCF of 3264,1931]/[LCM of 361,5619]= 1/2028459
Therefore, the GCF of 3264/361,1931/5619 is 1/2028459.
To find the highest common factor of 3264,1931, we have to find the factors of both numbers and list the highest common factor.
The factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264
The factors of 1931 are 1, 1931
The HCF of 3264,1931 is 1.
Lets's calculate GCF of 3264,1931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3264,1931 By Matching Biggest Common Factor Method
Now, list down the factors of 3264
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264
Now, list down the factors of 1931
:1,1931
Greatest Common Factor
We found the factors 3264,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 3264,1931 is 1.
Lets's calculate LCM of 361,5619
Given numbers has no common factors except 1. So, there LCM is their product i.e 2028459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2028459
Therefore, the GCF of Fractions 3264/361,1931/5619 is 1/2028459
Least Common Multiple of 361,5619 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 361,5619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,5619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,5619) x common factors =1 x 1 = 1
LCM(361,5619) = ( 361 × 5619 ) / 1
LCM(361,5619) = 2028459 / 1
LCM(361,5619) = 2028459
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FAQs on GCF of Fractions of 3264/361, 1931/5619
1. What is the HCF of 3264,1931?
The HCF of 3264,1931 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 3264/361, 1931/5619?
Answer: GCF of Numerators as per given numbers 3264/361, 1931/5619 is
GCF of Numerators i.e. for 3264,1931 is 1
LCM of denominators i.e. for 361,5619 is 2028459.
Thus, GCF of Fractions is 1/2028459.Finally, GCF of Fractions for 3264/361, 1931/5619 is 1/2028459.