GCD of 972, 347, 730, 986 Calculator

Given Input numbers are 972, 347, 730, 986

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

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 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 972, 347, 730, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 347, 730, 986 is 1.

Therefore, GCD of numbers 972, 347, 730, 986 is 1

Given Input Data is 972, 347, 730, 986

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

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

Prime Factorization of 347 is 347

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 986 is 2 x 17 x 29

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(972, 347) = 337284

GCD(972, 347) = ( 972 x 347 ) / 337284

GCD(972, 347) = 337284 / 337284

GCD(972, 347) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 972, 347, 730, 986 is 1

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1. What is the GCD of 972, 347, 730, 986?

GCD of 972, 347, 730, 986 is 1

2. Where do I get the detailed procedure to find GCD of 972, 347, 730, 986?

You can find a detailed procedure to find GCD of 972, 347, 730, 986 on our page.

3. How to find GCD of 972, 347, 730, 986 on a calculator?

You can find the GCD of 972, 347, 730, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.