GCD of 969, 180, 576, 490 Calculator

Given Input numbers are 969, 180, 576, 490

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (969, 180, 576, 490) = 1.

Given numbers are 969, 180, 576, 490

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 969, 180, 576, 490

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

Apply this formula for all numbers.

Step1:

LCM(969, 180) = 58140

GCD(969, 180) = ( 969 x 180 ) / 58140

= 969 / 180

= 969

Step2:

LCM(3, 576) = 576

GCD(3, 576) = ( 3 x 576 ) / 576

= 3 / 576

= 3

Step3:

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

= 3 / 490

= 3

So, Greatest Common Divisor of 969, 180, 576, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 519, 977, 263
• GCD of 353, 531, 259, 235
• GCD of 450, 674, 842, 689
• GCD of 701, 261, 463, 374
• GCD of 853, 431, 545, 873

Given numbers are 969, 180, 576, 490
The greatest common divisor of numbers 969, 180, 576, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 180, 576, 490 is 1.

1. What is the GCD of 969, 180, 576, 490?

GCD of given numbers 969, 180, 576, 490 is 1

2. How to calculate the greatest common divisor of 969, 180, 576, 490?

We can find the highest common divisor of 969, 180, 576, 490 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 969, 180, 576, 490 i.e 1.

3. How can I use the GCD of 969, 180, 576, 490Calculator?

Out the numbers 969, 180, 576, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.