Greatest Common Factor of 533/323, 969/780, 409/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 533/323, 969/780, 409/461

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 533/323,969/780,409/461

Given fractions are 533/323,969/780,409/461

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 533,969,409

Greatest Common Factor of Numerators i.e. GCF of 533,969,409 is 1 .

LCM of Denominators means LCM of 323,780,461 as per the given fractions.

LCM of 323,780,461 is 116144340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 533,969,409

GCF of Fractions 533/323,969/780,409/461 is 1/116144340

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

Greatest Common Factor of 533,969,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,969,409 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 533,969,409 . The biggest common factor number is the GCF number.
So the greatest common factor 533,969,409 is 1.

Lets's calculate LCM of 323,780,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 116144340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116144340

Therefore, the GCF of Fractions 533/323,969/780,409/461 is 1/116144340

Least Common Multiple of 323,780,461 with GCF Formula

Least Common Multiple of 323,780,461 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 323,780,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,780,461) = 1

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

GCF(323,780,461) x common factors =1 x 1 = 1

LCM(323,780,461) = ( 323 × 780 × 461 ) / 1

LCM(323,780,461) = 116144340 / 1

LCM(323,780,461) = 116144340


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 533/323, 969/780, 409/461

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 533/323, 969/780, 409/461?

Answer: GCF of Numerators as per given numbers 533/323, 969/780, 409/461 is

GCF of Numerators i.e. for 533,969,409 is 1

LCM of denominators i.e. for 323,780,461 is 116144340.

Thus, GCF of Fractions is 1/116144340.Finally, GCF of Fractions for 533/323, 969/780, 409/461 is 1/116144340.