GCD of 362, 972, 475, 120 Calculator

Given Input numbers are 362, 972, 475, 120

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (362, 972, 475, 120) = 1.

Given numbers are 362, 972, 475, 120

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

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

Prime factors of 475 are 5 x 5 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 362, 972, 475, 120

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

Apply this formula for all numbers.

Step1:

LCM(362, 972) = 175932

GCD(362, 972) = ( 362 x 972 ) / 175932

= 362 / 972

= 362

Step2:

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

= 2 / 475

= 2

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 362, 972, 475, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 789, 882, 230
• GCD of 285, 706, 320, 318
• GCD of 719, 752, 556, 385
• GCD of 943, 662, 604, 181
• GCD of 139, 273, 937, 612

Given numbers are 362, 972, 475, 120
The greatest common divisor of numbers 362, 972, 475, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 972, 475, 120 is 1.

1. What is the GCD of 362, 972, 475, 120?

GCD of given numbers 362, 972, 475, 120 is 1

2. How to calculate the greatest common divisor of 362, 972, 475, 120?

We can find the highest common divisor of 362, 972, 475, 120 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 362, 972, 475, 120 i.e 1.

3. How can I use the GCD of 362, 972, 475, 120Calculator?

Out the numbers 362, 972, 475, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.