GCF of 161/361, 302/514, 260/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 161/361, 302/514, 260/673 i.e 1/124877842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/361, 302/514, 260/673.
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 161/361,302/514,260/673?
Given fractions are 161/361,302/514,260/673
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 161/361,302/514,260/673, numerators are 161,302,260
Denominators are 361,514,673
The GCF of 161,302,260 is 1 .
LCM of 361,514,673 is 124877842.
The greatest common factor of 161/361,302/514,260/673 = [GCF of 161,302,260]/[LCM of 361,514,673]= 1/124877842
Therefore, the GCF of 161/361,302/514,260/673 is 1/124877842.
To find the highest common factor of 161,302,260, we have to find the factors of both numbers and list the highest common factor.
The factors of 161 are 1, 7, 23, 161
The factors of 302 are 1, 2, 151, 302
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The HCF of 161,302,260 is 1.
Lets's calculate GCF of 161,302,260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 161,302,260 By Matching Biggest Common Factor Method
Now, list down the factors of 161
:1,7,23,161
Now, list down the factors of 302
:1,2,151,302
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 161,302,260 . The biggest common factor number is the GCF number.
So the greatest common factor 161,302,260 is 1.
Lets's calculate LCM of 361,514,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 124877842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124877842
Therefore, the GCF of Fractions 161/361,302/514,260/673 is 1/124877842
Least Common Multiple of 361,514,673 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 361,514,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,514,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,514,673) x common factors =1 x 1 = 1
LCM(361,514,673) = ( 361 × 514 × 673 ) / 1
LCM(361,514,673) = 124877842 / 1
LCM(361,514,673) = 124877842
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FAQs on GCF of Fractions of 161/361, 302/514, 260/673
1. What is the HCF of 161,302,260?
The HCF of 161,302,260 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 161/361, 302/514, 260/673?
Answer: GCF of Numerators as per given numbers 161/361, 302/514, 260/673 is
GCF of Numerators i.e. for 161,302,260 is 1
LCM of denominators i.e. for 361,514,673 is 124877842.
Thus, GCF of Fractions is 1/124877842.Finally, GCF of Fractions for 161/361, 302/514, 260/673 is 1/124877842.