GCD of 972, 807, 363, 470 Calculator

Given Input numbers are 972, 807, 363, 470

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 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 470 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (972, 807, 363, 470) = 1.

Given numbers are 972, 807, 363, 470

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 807 are 3 x 269

Prime factors of 363 are 3 x 11 x 11

Prime factors of 470 are 2 x 5 x 47

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

Given numbers are 972, 807, 363, 470

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

Apply this formula for all numbers.

Step1:

LCM(972, 807) = 261468

GCD(972, 807) = ( 972 x 807 ) / 261468

= 972 / 807

= 972

Step2:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

Step3:

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

= 3 / 470

= 3

So, Greatest Common Divisor of 972, 807, 363, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 455, 582, 600
• GCD of 356, 467, 522, 236
• GCD of 469, 542, 373, 143
• GCD of 213, 736, 795, 199
• GCD of 675, 785, 691, 741

Given numbers are 972, 807, 363, 470
The greatest common divisor of numbers 972, 807, 363, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 807, 363, 470 is 1.

1. What is the GCD of 972, 807, 363, 470?

GCD of given numbers 972, 807, 363, 470 is 1

2. How to calculate the greatest common divisor of 972, 807, 363, 470?

We can find the highest common divisor of 972, 807, 363, 470 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, 807, 363, 470 i.e 1.

3. How can I use the GCD of 972, 807, 363, 470Calculator?

Out the numbers 972, 807, 363, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.