GCD of 261, 727, 704, 432 Calculator

Given Input numbers are 261, 727, 704, 432

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (261, 727, 704, 432) = 1.

Given numbers are 261, 727, 704, 432

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 727 are 727

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 261, 727, 704, 432

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

Apply this formula for all numbers.

Step1:

LCM(261, 727) = 189747

GCD(261, 727) = ( 261 x 727 ) / 189747

= 261 / 727

= 261

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 261, 727, 704, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 672, 132, 743
• GCD of 900, 952, 441, 184
• GCD of 527, 662, 141, 727
• GCD of 118, 192, 194, 358
• GCD of 484, 952, 186, 540

Given numbers are 261, 727, 704, 432
The greatest common divisor of numbers 261, 727, 704, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 727, 704, 432 is 1.

1. What is the GCD of 261, 727, 704, 432?

GCD of given numbers 261, 727, 704, 432 is 1

2. How to calculate the greatest common divisor of 261, 727, 704, 432?

We can find the highest common divisor of 261, 727, 704, 432 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 261, 727, 704, 432 i.e 1.

3. How can I use the GCD of 261, 727, 704, 432Calculator?

Out the numbers 261, 727, 704, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.