GCF of 13/45, 132/19, 727/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/45, 132/19, 727/580 i.e 1/99180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/45, 132/19, 727/580.
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 13/45,132/19,727/580?
Given fractions are 13/45,132/19,727/580
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 13/45,132/19,727/580, numerators are 13,132,727
Denominators are 45,19,580
The GCF of 13,132,727 is 1 .
LCM of 45,19,580 is 99180.
The greatest common factor of 13/45,132/19,727/580 = [GCF of 13,132,727]/[LCM of 45,19,580]= 1/99180
Therefore, the GCF of 13/45,132/19,727/580 is 1/99180.
To find the highest common factor of 13,132,727, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 727 are 1, 727
The HCF of 13,132,727 is 1.
Lets's calculate GCF of 13,132,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,132,727 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 727
:1,727
Greatest Common Factor
We found the factors 13,132,727 . The biggest common factor number is the GCF number.
So the greatest common factor 13,132,727 is 1.
Lets's calculate LCM of 45,19,580
| 5 | 45, 19, 580 |
| 9, 19, 116 |
∴ So the LCM of the given numbers is 5 x 9 x 19 x 116 = 99180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99180
Therefore, the GCF of Fractions 13/45,132/19,727/580 is 1/99180
Least Common Multiple of 45,19,580 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 45,19,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,19,580) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(45,19,580) x common factors =1 x 5 = 5
LCM(45,19,580) = ( 45 × 19 × 580 ) / 5
LCM(45,19,580) = 495900 / 5
LCM(45,19,580) = 99180
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FAQs on GCF of Fractions of 13/45, 132/19, 727/580
1. What is the HCF of 13,132,727?
The HCF of 13,132,727 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 13/45, 132/19, 727/580?
Answer: GCF of Numerators as per given numbers 13/45, 132/19, 727/580 is
GCF of Numerators i.e. for 13,132,727 is 1
LCM of denominators i.e. for 45,19,580 is 99180.
Thus, GCF of Fractions is 1/99180.Finally, GCF of Fractions for 13/45, 132/19, 727/580 is 1/99180.