GCD of 972, 470, 275, 396 Calculator

Given Input numbers are 972, 470, 275, 396

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (972, 470, 275, 396) = 1.

Given numbers are 972, 470, 275, 396

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 470 are 2 x 5 x 47

Prime factors of 275 are 5 x 5 x 11

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Given numbers are 972, 470, 275, 396

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

Apply this formula for all numbers.

Step1:

LCM(972, 470) = 228420

GCD(972, 470) = ( 972 x 470 ) / 228420

= 972 / 470

= 972

Step2:

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

= 2 / 275

= 2

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 972, 470, 275, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 889, 494, 751
• GCD of 163, 555, 940, 191
• GCD of 996, 386, 383, 990
• GCD of 311, 608, 609, 865
• GCD of 286, 684, 966, 856

Given numbers are 972, 470, 275, 396
The greatest common divisor of numbers 972, 470, 275, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 470, 275, 396 is 1.

1. What is the GCD of 972, 470, 275, 396?

GCD of given numbers 972, 470, 275, 396 is 1

2. How to calculate the greatest common divisor of 972, 470, 275, 396?

We can find the highest common divisor of 972, 470, 275, 396 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, 470, 275, 396 i.e 1.

3. How can I use the GCD of 972, 470, 275, 396Calculator?

Out the numbers 972, 470, 275, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.