GCF of 300/55, 589/13, 697/66
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 300/55, 589/13, 697/66 i.e 1/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 300/55, 589/13, 697/66.
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 300/55,589/13,697/66?
Given fractions are 300/55,589/13,697/66
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 300/55,589/13,697/66, numerators are 300,589,697
Denominators are 55,13,66
The GCF of 300,589,697 is 1 .
LCM of 55,13,66 is 4290.
The greatest common factor of 300/55,589/13,697/66 = [GCF of 300,589,697]/[LCM of 55,13,66]= 1/4290
Therefore, the GCF of 300/55,589/13,697/66 is 1/4290.
To find the highest common factor of 300,589,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The factors of 589 are 1, 19, 31, 589
The factors of 697 are 1, 17, 41, 697
The HCF of 300,589,697 is 1.
Lets's calculate GCF of 300,589,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 300,589,697 By Matching Biggest Common Factor Method
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Now, list down the factors of 589
:1,19,31,589
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 300,589,697 . The biggest common factor number is the GCF number.
So the greatest common factor 300,589,697 is 1.
Lets's calculate LCM of 55,13,66
| 11 | 55, 13, 66 |
| 5, 13, 6 |
∴ So the LCM of the given numbers is 11 x 5 x 13 x 6 = 4290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4290
Therefore, the GCF of Fractions 300/55,589/13,697/66 is 1/4290
Least Common Multiple of 55,13,66 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 55,13,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,13,66) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(55,13,66) x common factors =1 x 11 = 11
LCM(55,13,66) = ( 55 × 13 × 66 ) / 11
LCM(55,13,66) = 47190 / 11
LCM(55,13,66) = 4290
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FAQs on GCF of Fractions of 300/55, 589/13, 697/66
1. What is the HCF of 300,589,697?
The HCF of 300,589,697 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 300/55, 589/13, 697/66?
Answer: GCF of Numerators as per given numbers 300/55, 589/13, 697/66 is
GCF of Numerators i.e. for 300,589,697 is 1
LCM of denominators i.e. for 55,13,66 is 4290.
Thus, GCF of Fractions is 1/4290.Finally, GCF of Fractions for 300/55, 589/13, 697/66 is 1/4290.