GCD of 355, 489, 872, 949 Calculator

Given Input numbers are 355, 489, 872, 949

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (355, 489, 872, 949) = 1.

Given numbers are 355, 489, 872, 949

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 489 are 3 x 163

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 949 are 13 x 73

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

Given numbers are 355, 489, 872, 949

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

Apply this formula for all numbers.

Step1:

LCM(355, 489) = 173595

GCD(355, 489) = ( 355 x 489 ) / 173595

= 355 / 489

= 355

Step2:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

Step3:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1

So, Greatest Common Divisor of 355, 489, 872, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 141, 863, 879
• GCD of 914, 867, 606, 808
• GCD of 576, 471, 682, 345
• GCD of 602, 437, 482, 693
• GCD of 131, 433, 339, 495

Given numbers are 355, 489, 872, 949
The greatest common divisor of numbers 355, 489, 872, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 489, 872, 949 is 1.

1. What is the GCD of 355, 489, 872, 949?

GCD of given numbers 355, 489, 872, 949 is 1

2. How to calculate the greatest common divisor of 355, 489, 872, 949?

We can find the highest common divisor of 355, 489, 872, 949 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 355, 489, 872, 949 i.e 1.

3. How can I use the GCD of 355, 489, 872, 949Calculator?

Out the numbers 355, 489, 872, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.