GCF of 2005/632, 3131/1551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2005/632, 3131/1551 i.e 1/980232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2005/632, 3131/1551.
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 2005/632,3131/1551?
Given fractions are 2005/632,3131/1551
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 2005/632,3131/1551, numerators are 2005,3131
Denominators are 632,1551
The GCF of 2005,3131 is 1 .
LCM of 632,1551 is 980232.
The greatest common factor of 2005/632,3131/1551 = [GCF of 2005,3131]/[LCM of 632,1551]= 1/980232
Therefore, the GCF of 2005/632,3131/1551 is 1/980232.
To find the highest common factor of 2005,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 2005 are 1, 5, 401, 2005
The factors of 3131 are 1, 31, 101, 3131
The HCF of 2005,3131 is 1.
Lets's calculate GCF of 2005,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2005,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 2005
:1,5,401,2005
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 2005,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 2005,3131 is 1.
Lets's calculate LCM of 632,1551
Given numbers has no common factors except 1. So, there LCM is their product i.e 980232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/980232
Therefore, the GCF of Fractions 2005/632,3131/1551 is 1/980232
Least Common Multiple of 632,1551 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 632,1551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,1551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,1551) x common factors =1 x 1 = 1
LCM(632,1551) = ( 632 × 1551 ) / 1
LCM(632,1551) = 980232 / 1
LCM(632,1551) = 980232
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FAQs on GCF of Fractions of 2005/632, 3131/1551
1. What is the HCF of 2005,3131?
The HCF of 2005,3131 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 2005/632, 3131/1551?
Answer: GCF of Numerators as per given numbers 2005/632, 3131/1551 is
GCF of Numerators i.e. for 2005,3131 is 1
LCM of denominators i.e. for 632,1551 is 980232.
Thus, GCF of Fractions is 1/980232.Finally, GCF of Fractions for 2005/632, 3131/1551 is 1/980232.