GCD of 743, 267, 758, 561 Calculator

Given Input numbers are 743, 267, 758, 561

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 743, 267, 758, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 267, 758, 561 is 1.

Therefore, GCD of numbers 743, 267, 758, 561 is 1

Given Input Data is 743, 267, 758, 561

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 743 is 743

Prime Factorization of 267 is 3 x 89

Prime Factorization of 758 is 2 x 379

Prime Factorization of 561 is 3 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(743, 267) = 198381

GCD(743, 267) = ( 743 x 267 ) / 198381

GCD(743, 267) = 198381 / 198381

GCD(743, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 743, 267, 758, 561 is 1

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• GCD of 118, 462, 461, 847
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• GCD of 998, 580, 987, 257
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• GCD of 446, 550, 356, 960

1. What is the GCD of 743, 267, 758, 561?

GCD of 743, 267, 758, 561 is 1

2. Where do I get the detailed procedure to find GCD of 743, 267, 758, 561?

You can find a detailed procedure to find GCD of 743, 267, 758, 561 on our page.

3. How to find GCD of 743, 267, 758, 561 on a calculator?

You can find the GCD of 743, 267, 758, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.