Greatest Common Factor of 161/53, 255/1459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 161/53, 255/1459

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 161/53,255/1459

Given fractions are 161/53,255/1459

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 161,255

Greatest Common Factor of Numerators i.e. GCF of 161,255 is 1 .

LCM of Denominators means LCM of 53,1459 as per the given fractions.

LCM of 53,1459 is 77327 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 161,255

GCF of Fractions 161/53,255/1459 is 1/77327

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 161,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,255 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 161,255 . The biggest common factor number is the GCF number.
So the greatest common factor 161,255 is 1.

Lets's calculate LCM of 53,1459

Given numbers has no common factors except 1. So, there LCM is their product i.e 77327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77327

Therefore, the GCF of Fractions 161/53,255/1459 is 1/77327

Least Common Multiple of 53,1459 with GCF Formula

Least Common Multiple of 53,1459 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 53,1459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,1459) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,1459) x common factors =1 x 1 = 1

LCM(53,1459) = ( 53 × 1459 ) / 1

LCM(53,1459) = 77327 / 1

LCM(53,1459) = 77327


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 161/53, 255/1459

1. 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.

2. What is the GCF of Fractions for 161/53, 255/1459?

Answer: GCF of Numerators as per given numbers 161/53, 255/1459 is

GCF of Numerators i.e. for 161,255 is 1

LCM of denominators i.e. for 53,1459 is 77327.

Thus, GCF of Fractions is 1/77327.Finally, GCF of Fractions for 161/53, 255/1459 is 1/77327.