GCF of 2561/591, 3780/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2561/591, 3780/889 i.e 1/525399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2561/591, 3780/889.
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 2561/591,3780/889?
Given fractions are 2561/591,3780/889
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 2561/591,3780/889, numerators are 2561,3780
Denominators are 591,889
The GCF of 2561,3780 is 1 .
LCM of 591,889 is 525399.
The greatest common factor of 2561/591,3780/889 = [GCF of 2561,3780]/[LCM of 591,889]= 1/525399
Therefore, the GCF of 2561/591,3780/889 is 1/525399.
To find the highest common factor of 2561,3780, we have to find the factors of both numbers and list the highest common factor.
The factors of 2561 are 1, 13, 197, 2561
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The HCF of 2561,3780 is 1.
Lets's calculate GCF of 2561,3780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2561,3780 By Matching Biggest Common Factor Method
Now, list down the factors of 2561
:1,13,197,2561
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Greatest Common Factor
We found the factors 2561,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 2561,3780 is 1.
Lets's calculate LCM of 591,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 525399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525399
Therefore, the GCF of Fractions 2561/591,3780/889 is 1/525399
Least Common Multiple of 591,889 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 591,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,889) x common factors =1 x 1 = 1
LCM(591,889) = ( 591 × 889 ) / 1
LCM(591,889) = 525399 / 1
LCM(591,889) = 525399
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FAQs on GCF of Fractions of 2561/591, 3780/889
1. What is the HCF of 2561,3780?
The HCF of 2561,3780 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 2561/591, 3780/889?
Answer: GCF of Numerators as per given numbers 2561/591, 3780/889 is
GCF of Numerators i.e. for 2561,3780 is 1
LCM of denominators i.e. for 591,889 is 525399.
Thus, GCF of Fractions is 1/525399.Finally, GCF of Fractions for 2561/591, 3780/889 is 1/525399.