GCD of 723, 356, 827, 261 Calculator

Given Input numbers are 723, 356, 827, 261

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (723, 356, 827, 261) = 1.

Given numbers are 723, 356, 827, 261

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 356 are 2 x 2 x 89

Prime factors of 827 are 827

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 723, 356, 827, 261

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

Apply this formula for all numbers.

Step1:

LCM(723, 356) = 257388

GCD(723, 356) = ( 723 x 356 ) / 257388

= 723 / 356

= 723

Step2:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

Step3:

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

= 1 / 261

= 1

So, Greatest Common Divisor of 723, 356, 827, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 898, 152, 786
• GCD of 568, 282, 239, 953
• GCD of 295, 908, 895, 577
• GCD of 815, 222, 236, 493
• GCD of 803, 439, 339, 188

Given numbers are 723, 356, 827, 261
The greatest common divisor of numbers 723, 356, 827, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 356, 827, 261 is 1.

1. What is the GCD of 723, 356, 827, 261?

GCD of given numbers 723, 356, 827, 261 is 1

2. How to calculate the greatest common divisor of 723, 356, 827, 261?

We can find the highest common divisor of 723, 356, 827, 261 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 723, 356, 827, 261 i.e 1.

3. How can I use the GCD of 723, 356, 827, 261Calculator?

Out the numbers 723, 356, 827, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.