GCF of 11/31, 586/23, 736/301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/31, 586/23, 736/301 i.e 1/214613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/31, 586/23, 736/301.
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 11/31,586/23,736/301?
Given fractions are 11/31,586/23,736/301
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 11/31,586/23,736/301, numerators are 11,586,736
Denominators are 31,23,301
The GCF of 11,586,736 is 1 .
LCM of 31,23,301 is 214613.
The greatest common factor of 11/31,586/23,736/301 = [GCF of 11,586,736]/[LCM of 31,23,301]= 1/214613
Therefore, the GCF of 11/31,586/23,736/301 is 1/214613.
To find the highest common factor of 11,586,736, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 586 are 1, 2, 293, 586
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 11,586,736 is 1.
Lets's calculate GCF of 11,586,736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,586,736 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 586
:1,2,293,586
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 11,586,736 . The biggest common factor number is the GCF number.
So the greatest common factor 11,586,736 is 1.
Lets's calculate LCM of 31,23,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 214613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214613
Therefore, the GCF of Fractions 11/31,586/23,736/301 is 1/214613
Least Common Multiple of 31,23,301 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 31,23,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,23,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,23,301) x common factors =1 x 1 = 1
LCM(31,23,301) = ( 31 × 23 × 301 ) / 1
LCM(31,23,301) = 214613 / 1
LCM(31,23,301) = 214613
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FAQs on GCF of Fractions of 11/31, 586/23, 736/301
1. What is the HCF of 11,586,736?
The HCF of 11,586,736 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 11/31, 586/23, 736/301?
Answer: GCF of Numerators as per given numbers 11/31, 586/23, 736/301 is
GCF of Numerators i.e. for 11,586,736 is 1
LCM of denominators i.e. for 31,23,301 is 214613.
Thus, GCF of Fractions is 1/214613.Finally, GCF of Fractions for 11/31, 586/23, 736/301 is 1/214613.