GCD of 252, 744, 969, 289 Calculator

Given Input numbers are 252, 744, 969, 289

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 969 :

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

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (252, 744, 969, 289) = 1.

Given numbers are 252, 744, 969, 289

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 969 are 3 x 17 x 19

Prime factors of 289 are 17 x 17

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

Given numbers are 252, 744, 969, 289

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

Apply this formula for all numbers.

Step1:

LCM(252, 744) = 15624

GCD(252, 744) = ( 252 x 744 ) / 15624

= 252 / 744

= 252

Step2:

LCM(12, 969) = 3876

GCD(12, 969) = ( 12 x 969 ) / 3876

= 12 / 969

= 12

Step3:

LCM(3, 289) = 867

GCD(3, 289) = ( 3 x 289 ) / 867

= 3 / 289

= 3

So, Greatest Common Divisor of 252, 744, 969, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 925, 904, 126
• GCD of 613, 215, 399, 328
• GCD of 713, 430, 943, 968
• GCD of 934, 708, 404, 483
• GCD of 895, 362, 285, 540

Given numbers are 252, 744, 969, 289
The greatest common divisor of numbers 252, 744, 969, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 744, 969, 289 is 1.

1. What is the GCD of 252, 744, 969, 289?

GCD of given numbers 252, 744, 969, 289 is 1

2. How to calculate the greatest common divisor of 252, 744, 969, 289?

We can find the highest common divisor of 252, 744, 969, 289 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 252, 744, 969, 289 i.e 1.

3. How can I use the GCD of 252, 744, 969, 289Calculator?

Out the numbers 252, 744, 969, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.