GCD of 972, 708, 269, 730 Calculator

Given Input numbers are 972, 708, 269, 730

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (972, 708, 269, 730) = 1.

Given numbers are 972, 708, 269, 730

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 269 are 269

Prime factors of 730 are 2 x 5 x 73

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

Given numbers are 972, 708, 269, 730

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

Apply this formula for all numbers.

Step1:

LCM(972, 708) = 57348

GCD(972, 708) = ( 972 x 708 ) / 57348

= 972 / 708

= 972

Step2:

LCM(12, 269) = 3228

GCD(12, 269) = ( 12 x 269 ) / 3228

= 12 / 269

= 12

Step3:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

So, Greatest Common Divisor of 972, 708, 269, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 231, 266, 784
• GCD of 859, 654, 422, 436
• GCD of 322, 467, 189, 295
• GCD of 738, 846, 939, 880
• GCD of 306, 503, 331, 628

Given numbers are 972, 708, 269, 730
The greatest common divisor of numbers 972, 708, 269, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 708, 269, 730 is 1.

1. What is the GCD of 972, 708, 269, 730?

GCD of given numbers 972, 708, 269, 730 is 1

2. How to calculate the greatest common divisor of 972, 708, 269, 730?

We can find the highest common divisor of 972, 708, 269, 730 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 972, 708, 269, 730 i.e 1.

3. How can I use the GCD of 972, 708, 269, 730Calculator?

Out the numbers 972, 708, 269, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.