GCD of 972, 388, 282, 697 Calculator

Given Input numbers are 972, 388, 282, 697

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 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (972, 388, 282, 697) = 1.

Given numbers are 972, 388, 282, 697

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 388 are 2 x 2 x 97

Prime factors of 282 are 2 x 3 x 47

Prime factors of 697 are 17 x 41

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

Given numbers are 972, 388, 282, 697

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

Apply this formula for all numbers.

Step1:

LCM(972, 388) = 94284

GCD(972, 388) = ( 972 x 388 ) / 94284

= 972 / 388

= 972

Step2:

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

= 4 / 282

= 4

Step3:

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

= 2 / 697

= 2

So, Greatest Common Divisor of 972, 388, 282, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 777, 480, 344
• GCD of 941, 259, 546, 330
• GCD of 309, 165, 362, 624
• GCD of 144, 867, 142, 673
• GCD of 456, 533, 440, 465

Given numbers are 972, 388, 282, 697
The greatest common divisor of numbers 972, 388, 282, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 388, 282, 697 is 1.

1. What is the GCD of 972, 388, 282, 697?

GCD of given numbers 972, 388, 282, 697 is 1

2. How to calculate the greatest common divisor of 972, 388, 282, 697?

We can find the highest common divisor of 972, 388, 282, 697 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, 388, 282, 697 i.e 1.

3. How can I use the GCD of 972, 388, 282, 697Calculator?

Out the numbers 972, 388, 282, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.