GCD of 972, 717, 160, 288 Calculator

Given Input numbers are 972, 717, 160, 288

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 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (972, 717, 160, 288) = 1.

Given numbers are 972, 717, 160, 288

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 717 are 3 x 239

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 972, 717, 160, 288

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

Apply this formula for all numbers.

Step1:

LCM(972, 717) = 232308

GCD(972, 717) = ( 972 x 717 ) / 232308

= 972 / 717

= 972

Step2:

LCM(3, 160) = 480

GCD(3, 160) = ( 3 x 160 ) / 480

= 3 / 160

= 3

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 972, 717, 160, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 671, 450, 505
• GCD of 272, 142, 669, 812
• GCD of 910, 122, 839, 662
• GCD of 924, 265, 669, 597
• GCD of 948, 454, 587, 535

Given numbers are 972, 717, 160, 288
The greatest common divisor of numbers 972, 717, 160, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 717, 160, 288 is 1.

1. What is the GCD of 972, 717, 160, 288?

GCD of given numbers 972, 717, 160, 288 is 1

2. How to calculate the greatest common divisor of 972, 717, 160, 288?

We can find the highest common divisor of 972, 717, 160, 288 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, 717, 160, 288 i.e 1.

3. How can I use the GCD of 972, 717, 160, 288Calculator?

Out the numbers 972, 717, 160, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.