GCF of 725/18, 162/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 725/18, 162/365 i.e 1/6570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 725/18, 162/365.
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 725/18,162/365?
Given fractions are 725/18,162/365
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 725/18,162/365, numerators are 725,162
Denominators are 18,365
The GCF of 725,162 is 1 .
LCM of 18,365 is 6570.
The greatest common factor of 725/18,162/365 = [GCF of 725,162]/[LCM of 18,365]= 1/6570
Therefore, the GCF of 725/18,162/365 is 1/6570.
To find the highest common factor of 725,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 725 are 1, 5, 25, 29, 145, 725
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 725,162 is 1.
Lets's calculate GCF of 725,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 725,162 By Matching Biggest Common Factor Method
Now, list down the factors of 725
:1,5,25,29,145,725
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 725,162 . The biggest common factor number is the GCF number.
So the greatest common factor 725,162 is 1.
Lets's calculate LCM of 18,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 6570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6570
Therefore, the GCF of Fractions 725/18,162/365 is 1/6570
Least Common Multiple of 18,365 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 18,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,365) x common factors =1 x 1 = 1
LCM(18,365) = ( 18 × 365 ) / 1
LCM(18,365) = 6570 / 1
LCM(18,365) = 6570
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FAQs on GCF of Fractions of 725/18, 162/365
1. What is the HCF of 725,162?
The HCF of 725,162 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 725/18, 162/365?
Answer: GCF of Numerators as per given numbers 725/18, 162/365 is
GCF of Numerators i.e. for 725,162 is 1
LCM of denominators i.e. for 18,365 is 6570.
Thus, GCF of Fractions is 1/6570.Finally, GCF of Fractions for 725/18, 162/365 is 1/6570.