GCD of 378, 985, 972, 465 Calculator

Given Input numbers are 378, 985, 972, 465

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 378, 985, 972, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 985, 972, 465 is 1.

Therefore, GCD of numbers 378, 985, 972, 465 is 1

Given Input Data is 378, 985, 972, 465

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 985 is 5 x 197

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 465 is 3 x 5 x 31

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(378, 985) = 372330

GCD(378, 985) = ( 378 x 985 ) / 372330

GCD(378, 985) = 372330 / 372330

GCD(378, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 378, 985, 972, 465 is 1

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1. What is the GCD of 378, 985, 972, 465?

GCD of 378, 985, 972, 465 is 1

2. Where do I get the detailed procedure to find GCD of 378, 985, 972, 465?

You can find a detailed procedure to find GCD of 378, 985, 972, 465 on our page.

3. How to find GCD of 378, 985, 972, 465 on a calculator?

You can find the GCD of 378, 985, 972, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.