GCD of 249, 969, 180, 728 Calculator

Given Input numbers are 249, 969, 180, 728

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (249, 969, 180, 728) = 1.

Given numbers are 249, 969, 180, 728

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

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 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 249, 969, 180, 728

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

Apply this formula for all numbers.

Step1:

LCM(249, 969) = 80427

GCD(249, 969) = ( 249 x 969 ) / 80427

= 249 / 969

= 249

Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

Step3:

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

= 3 / 728

= 3

So, Greatest Common Divisor of 249, 969, 180, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 111, 911, 538
• GCD of 961, 439, 988, 707
• GCD of 878, 841, 645, 693
• GCD of 637, 934, 290, 507
• GCD of 414, 664, 918, 270

Given numbers are 249, 969, 180, 728
The greatest common divisor of numbers 249, 969, 180, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 969, 180, 728 is 1.

1. What is the GCD of 249, 969, 180, 728?

GCD of given numbers 249, 969, 180, 728 is 1

2. How to calculate the greatest common divisor of 249, 969, 180, 728?

We can find the highest common divisor of 249, 969, 180, 728 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 249, 969, 180, 728 i.e 1.

3. How can I use the GCD of 249, 969, 180, 728Calculator?

Out the numbers 249, 969, 180, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.