GCF of 2011/342, 8620/5727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2011/342, 8620/5727 i.e 1/652878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2011/342, 8620/5727.
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 2011/342,8620/5727?
Given fractions are 2011/342,8620/5727
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 2011/342,8620/5727, numerators are 2011,8620
Denominators are 342,5727
The GCF of 2011,8620 is 1 .
LCM of 342,5727 is 652878.
The greatest common factor of 2011/342,8620/5727 = [GCF of 2011,8620]/[LCM of 342,5727]= 1/652878
Therefore, the GCF of 2011/342,8620/5727 is 1/652878.
To find the highest common factor of 2011,8620, we have to find the factors of both numbers and list the highest common factor.
The factors of 2011 are 1, 2011
The factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620
The HCF of 2011,8620 is 1.
Lets's calculate GCF of 2011,8620
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2011,8620 By Matching Biggest Common Factor Method
Now, list down the factors of 2011
:1,2011
Now, list down the factors of 8620
:1,2,4,5,10,20,431,862,1724,2155,4310,8620
Greatest Common Factor
We found the factors 2011,8620 . The biggest common factor number is the GCF number.
So the greatest common factor 2011,8620 is 1.
Lets's calculate LCM of 342,5727
| 3 | 342, 5727 |
| 114, 1909 |
∴ So the LCM of the given numbers is 3 x 114 x 1909 = 652878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652878
Therefore, the GCF of Fractions 2011/342,8620/5727 is 1/652878
Least Common Multiple of 342,5727 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 342,5727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,5727) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(342,5727) x common factors =3 x 1 = 3
LCM(342,5727) = ( 342 × 5727 ) / 3
LCM(342,5727) = 1958634 / 3
LCM(342,5727) = 652878
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FAQs on GCF of Fractions of 2011/342, 8620/5727
1. What is the HCF of 2011,8620?
The HCF of 2011,8620 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 2011/342, 8620/5727?
Answer: GCF of Numerators as per given numbers 2011/342, 8620/5727 is
GCF of Numerators i.e. for 2011,8620 is 1
LCM of denominators i.e. for 342,5727 is 652878.
Thus, GCF of Fractions is 1/652878.Finally, GCF of Fractions for 2011/342, 8620/5727 is 1/652878.