GCD of 471, 739, 918, 972 Calculator

Given Input numbers are 471, 739, 918, 972

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

Greatest Common Divisior

We found the divisors of 471, 739, 918, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 739, 918, 972 is 1.

Therefore, GCD of numbers 471, 739, 918, 972 is 1

Given Input Data is 471, 739, 918, 972

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 739 is 739

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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

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(471, 739) = 348069

GCD(471, 739) = ( 471 x 739 ) / 348069

GCD(471, 739) = 348069 / 348069

GCD(471, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

Step3:

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

GCD of 471, 739, 918, 972 is 1

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1. What is the GCD of 471, 739, 918, 972?

GCD of 471, 739, 918, 972 is 1

2. Where do I get the detailed procedure to find GCD of 471, 739, 918, 972?

You can find a detailed procedure to find GCD of 471, 739, 918, 972 on our page.

3. How to find GCD of 471, 739, 918, 972 on a calculator?

You can find the GCD of 471, 739, 918, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.