Greatest Common Factor of 521/45, 741/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 521/45, 741/164

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 521/45,741/164

Given fractions are 521/45,741/164

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 521,741

Greatest Common Factor of Numerators i.e. GCF of 521,741 is 1 .

LCM of Denominators means LCM of 45,164 as per the given fractions.

LCM of 45,164 is 7380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 521,741

GCF of Fractions 521/45,741/164 is 1/7380

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

Greatest Common Factor of 521,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,741 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 521,741 . The biggest common factor number is the GCF number.
So the greatest common factor 521,741 is 1.

Lets's calculate LCM of 45,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 7380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7380

Therefore, the GCF of Fractions 521/45,741/164 is 1/7380

Least Common Multiple of 45,164 with GCF Formula

Least Common Multiple of 45,164 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 45,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,164) = 1

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

GCF(45,164) x common factors =1 x 1 = 1

LCM(45,164) = ( 45 × 164 ) / 1

LCM(45,164) = 7380 / 1

LCM(45,164) = 7380


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 521/45, 741/164

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 521/45, 741/164?

Answer: GCF of Numerators as per given numbers 521/45, 741/164 is

GCF of Numerators i.e. for 521,741 is 1

LCM of denominators i.e. for 45,164 is 7380.

Thus, GCF of Fractions is 1/7380.Finally, GCF of Fractions for 521/45, 741/164 is 1/7380.