GCD of 261, 696, 588, 353 Calculator

Given Input numbers are 261, 696, 588, 353

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

GCD of numbers is the greatest common divisor

So, the GCD (261, 696, 588, 353) = 1.

Given numbers are 261, 696, 588, 353

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 353 are 353

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

Given numbers are 261, 696, 588, 353

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

Apply this formula for all numbers.

Step1:

LCM(261, 696) = 2088

GCD(261, 696) = ( 261 x 696 ) / 2088

= 261 / 696

= 261

Step2:

LCM(87, 588) = 17052

GCD(87, 588) = ( 87 x 588 ) / 17052

= 87 / 588

= 87

Step3:

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

= 3 / 353

= 3

So, Greatest Common Divisor of 261, 696, 588, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 794, 975, 915
• GCD of 708, 353, 924, 791
• GCD of 392, 380, 613, 609
• GCD of 266, 405, 299, 239
• GCD of 416, 576, 107, 736

Given numbers are 261, 696, 588, 353
The greatest common divisor of numbers 261, 696, 588, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 696, 588, 353 is 1.

1. What is the GCD of 261, 696, 588, 353?

GCD of given numbers 261, 696, 588, 353 is 1

2. How to calculate the greatest common divisor of 261, 696, 588, 353?

We can find the highest common divisor of 261, 696, 588, 353 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, 696, 588, 353 i.e 1.

3. How can I use the GCD of 261, 696, 588, 353Calculator?

Out the numbers 261, 696, 588, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.