Greatest Common Factor of 523/97, 168/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/97, 168/509

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 523/97,168/509

Given fractions are 523/97,168/509

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 523,168

Greatest Common Factor of Numerators i.e. GCF of 523,168 is 1 .

LCM of Denominators means LCM of 97,509 as per the given fractions.

LCM of 97,509 is 49373 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,168

GCF of Fractions 523/97,168/509 is 1/49373

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

Greatest Common Factor of 523,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,168 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 523,168 . The biggest common factor number is the GCF number.
So the greatest common factor 523,168 is 1.

Lets's calculate LCM of 97,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 49373

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49373

Therefore, the GCF of Fractions 523/97,168/509 is 1/49373

Least Common Multiple of 97,509 with GCF Formula

Least Common Multiple of 97,509 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 97,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,509) = 1

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

GCF(97,509) x common factors =1 x 1 = 1

LCM(97,509) = ( 97 × 509 ) / 1

LCM(97,509) = 49373 / 1

LCM(97,509) = 49373


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 523/97, 168/509

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 523/97, 168/509?

Answer: GCF of Numerators as per given numbers 523/97, 168/509 is

GCF of Numerators i.e. for 523,168 is 1

LCM of denominators i.e. for 97,509 is 49373.

Thus, GCF of Fractions is 1/49373.Finally, GCF of Fractions for 523/97, 168/509 is 1/49373.