Greatest Common Factor of 523/670, 4543/1608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/670, 4543/1608

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 523/670,4543/1608

Given fractions are 523/670,4543/1608

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 523,4543

Greatest Common Factor of Numerators i.e. GCF of 523,4543 is 1 .

LCM of Denominators means LCM of 670,1608 as per the given fractions.

LCM of 670,1608 is 8040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,4543

GCF of Fractions 523/670,4543/1608 is 1/8040

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

Greatest Common Factor of 523,4543 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,4543 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 4543

List of positive integer factors of 4543 that divides 4543 without a remainder.

1,7,11,59,77,413,649,4543

Greatest Common Factor

We found the factors 523,4543 . The biggest common factor number is the GCF number.
So the greatest common factor 523,4543 is 1.

Lets's calculate LCM of 670,1608

2 670, 1608
67 335, 804
5, 12

∴ So the LCM of the given numbers is 2 x 67 x 5 x 12 = 8040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8040

Therefore, the GCF of Fractions 523/670,4543/1608 is 1/8040

Least Common Multiple of 670,1608 with GCF Formula

Least Common Multiple of 670,1608 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 670,1608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,1608) = 134

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

GCF(670,1608) x common factors =134 x 1 = 134

LCM(670,1608) = ( 670 × 1608 ) / 134

LCM(670,1608) = 1077360 / 134

LCM(670,1608) = 8040


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 523/670, 4543/1608

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 523/670, 4543/1608?

Answer: GCF of Numerators as per given numbers 523/670, 4543/1608 is

GCF of Numerators i.e. for 523,4543 is 1

LCM of denominators i.e. for 670,1608 is 8040.

Thus, GCF of Fractions is 1/8040.Finally, GCF of Fractions for 523/670, 4543/1608 is 1/8040.