GCF of 260/749, 161/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 260/749, 161/465 i.e 1/348285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 260/749, 161/465.
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 260/749,161/465?
Given fractions are 260/749,161/465
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 260/749,161/465, numerators are 260,161
Denominators are 749,465
The GCF of 260,161 is 1 .
LCM of 749,465 is 348285.
The greatest common factor of 260/749,161/465 = [GCF of 260,161]/[LCM of 749,465]= 1/348285
Therefore, the GCF of 260/749,161/465 is 1/348285.
To find the highest common factor of 260,161, we have to find the factors of both numbers and list the highest common factor.
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The factors of 161 are 1, 7, 23, 161
The HCF of 260,161 is 1.
Lets's calculate GCF of 260,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 260,161 By Matching Biggest Common Factor Method
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Now, list down the factors of 161
:1,7,23,161
Greatest Common Factor
We found the factors 260,161 . The biggest common factor number is the GCF number.
So the greatest common factor 260,161 is 1.
Lets's calculate LCM of 749,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 348285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348285
Therefore, the GCF of Fractions 260/749,161/465 is 1/348285
Least Common Multiple of 749,465 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 749,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,465) x common factors =1 x 1 = 1
LCM(749,465) = ( 749 × 465 ) / 1
LCM(749,465) = 348285 / 1
LCM(749,465) = 348285
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 260/749, 161/465
1. What is the HCF of 260,161?
The HCF of 260,161 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 260/749, 161/465?
Answer: GCF of Numerators as per given numbers 260/749, 161/465 is
GCF of Numerators i.e. for 260,161 is 1
LCM of denominators i.e. for 749,465 is 348285.
Thus, GCF of Fractions is 1/348285.Finally, GCF of Fractions for 260/749, 161/465 is 1/348285.