GCD of 291, 576, 742, 269 Calculator

Given Input numbers are 291, 576, 742, 269

In the factoring method, we have to find the divisors of all numbers

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (291, 576, 742, 269) = 1.

Given numbers are 291, 576, 742, 269

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 269 are 269

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

Given numbers are 291, 576, 742, 269

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(291, 576) = 55872

GCD(291, 576) = ( 291 x 576 ) / 55872

= 291 / 576

= 291

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

So, Greatest Common Divisor of 291, 576, 742, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 716, 929, 784
• GCD of 888, 603, 634, 392
• GCD of 387, 492, 570, 343
• GCD of 993, 690, 378, 378
• GCD of 701, 593, 203, 281

Given numbers are 291, 576, 742, 269
The greatest common divisor of numbers 291, 576, 742, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 576, 742, 269 is 1.

1. What is the GCD of 291, 576, 742, 269?

GCD of given numbers 291, 576, 742, 269 is 1

2. How to calculate the greatest common divisor of 291, 576, 742, 269?

We can find the highest common divisor of 291, 576, 742, 269 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 291, 576, 742, 269 i.e 1.

3. How can I use the GCD of 291, 576, 742, 269Calculator?

Out the numbers 291, 576, 742, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.