GCF of 18/27, 160/91, 289/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/27, 160/91, 289/719 i.e 1/1766583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/27, 160/91, 289/719.
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 18/27,160/91,289/719?
Given fractions are 18/27,160/91,289/719
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 18/27,160/91,289/719, numerators are 18,160,289
Denominators are 27,91,719
The GCF of 18,160,289 is 1 .
LCM of 27,91,719 is 1766583.
The greatest common factor of 18/27,160/91,289/719 = [GCF of 18,160,289]/[LCM of 27,91,719]= 1/1766583
Therefore, the GCF of 18/27,160/91,289/719 is 1/1766583.
To find the highest common factor of 18,160,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 289 are 1, 17, 289
The HCF of 18,160,289 is 1.
Lets's calculate GCF of 18,160,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,160,289 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 18,160,289 . The biggest common factor number is the GCF number.
So the greatest common factor 18,160,289 is 1.
Lets's calculate LCM of 27,91,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 1766583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1766583
Therefore, the GCF of Fractions 18/27,160/91,289/719 is 1/1766583
Least Common Multiple of 27,91,719 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 27,91,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,91,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,91,719) x common factors =1 x 1 = 1
LCM(27,91,719) = ( 27 × 91 × 719 ) / 1
LCM(27,91,719) = 1766583 / 1
LCM(27,91,719) = 1766583
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FAQs on GCF of Fractions of 18/27, 160/91, 289/719
1. What is the HCF of 18,160,289?
The HCF of 18,160,289 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 18/27, 160/91, 289/719?
Answer: GCF of Numerators as per given numbers 18/27, 160/91, 289/719 is
GCF of Numerators i.e. for 18,160,289 is 1
LCM of denominators i.e. for 27,91,719 is 1766583.
Thus, GCF of Fractions is 1/1766583.Finally, GCF of Fractions for 18/27, 160/91, 289/719 is 1/1766583.