GCF of 5205/911, 5866/5209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5205/911, 5866/5209 i.e 1/4745399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5205/911, 5866/5209.
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 5205/911,5866/5209?
Given fractions are 5205/911,5866/5209
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 5205/911,5866/5209, numerators are 5205,5866
Denominators are 911,5209
The GCF of 5205,5866 is 1 .
LCM of 911,5209 is 4745399.
The greatest common factor of 5205/911,5866/5209 = [GCF of 5205,5866]/[LCM of 911,5209]= 1/4745399
Therefore, the GCF of 5205/911,5866/5209 is 1/4745399.
To find the highest common factor of 5205,5866, we have to find the factors of both numbers and list the highest common factor.
The factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205
The factors of 5866 are 1, 2, 7, 14, 419, 838, 2933, 5866
The HCF of 5205,5866 is 1.
Lets's calculate GCF of 5205,5866
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5205,5866 By Matching Biggest Common Factor Method
Now, list down the factors of 5205
:1,3,5,15,347,1041,1735,5205
Now, list down the factors of 5866
:1,2,7,14,419,838,2933,5866
Greatest Common Factor
We found the factors 5205,5866 . The biggest common factor number is the GCF number.
So the greatest common factor 5205,5866 is 1.
Lets's calculate LCM of 911,5209
Given numbers has no common factors except 1. So, there LCM is their product i.e 4745399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4745399
Therefore, the GCF of Fractions 5205/911,5866/5209 is 1/4745399
Least Common Multiple of 911,5209 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 911,5209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,5209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,5209) x common factors =1 x 1 = 1
LCM(911,5209) = ( 911 × 5209 ) / 1
LCM(911,5209) = 4745399 / 1
LCM(911,5209) = 4745399
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FAQs on GCF of Fractions of 5205/911, 5866/5209
1. What is the HCF of 5205,5866?
The HCF of 5205,5866 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 5205/911, 5866/5209?
Answer: GCF of Numerators as per given numbers 5205/911, 5866/5209 is
GCF of Numerators i.e. for 5205,5866 is 1
LCM of denominators i.e. for 911,5209 is 4745399.
Thus, GCF of Fractions is 1/4745399.Finally, GCF of Fractions for 5205/911, 5866/5209 is 1/4745399.