GCD of 738, 972, 859, 470 Calculator

Given Input numbers are 738, 972, 859, 470

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 859 :

The positive integer divisors of 859 that completely divides 859 are.

1, 859

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 (738, 972, 859, 470) = 1.

Given numbers are 738, 972, 859, 470

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

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

Prime factors of 859 are 859

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 738, 972, 859, 470

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

Apply this formula for all numbers.

Step1:

LCM(738, 972) = 39852

GCD(738, 972) = ( 738 x 972 ) / 39852

= 738 / 972

= 738

Step2:

LCM(18, 859) = 15462

GCD(18, 859) = ( 18 x 859 ) / 15462

= 18 / 859

= 18

Step3:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1

So, Greatest Common Divisor of 738, 972, 859, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 195, 860, 269
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• GCD of 375, 967, 208, 961

Given numbers are 738, 972, 859, 470
The greatest common divisor of numbers 738, 972, 859, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 972, 859, 470 is 1.

1. What is the GCD of 738, 972, 859, 470?

GCD of given numbers 738, 972, 859, 470 is 1

2. How to calculate the greatest common divisor of 738, 972, 859, 470?

We can find the highest common divisor of 738, 972, 859, 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 738, 972, 859, 470 i.e 1.

3. How can I use the GCD of 738, 972, 859, 470Calculator?

Out the numbers 738, 972, 859, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.