GCD of 407, 942, 972, 708 Calculator

Given Input numbers are 407, 942, 972, 708

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 407, 942, 972, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 942, 972, 708 is 1.

Therefore, GCD of numbers 407, 942, 972, 708 is 1

Given Input Data is 407, 942, 972, 708

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 942 is 2 x 3 x 157

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(407, 942) = 383394

GCD(407, 942) = ( 407 x 942 ) / 383394

GCD(407, 942) = 383394 / 383394

GCD(407, 942) = 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 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 407, 942, 972, 708 is 1

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1. What is the GCD of 407, 942, 972, 708?

GCD of 407, 942, 972, 708 is 1

2. Where do I get the detailed procedure to find GCD of 407, 942, 972, 708?

You can find a detailed procedure to find GCD of 407, 942, 972, 708 on our page.

3. How to find GCD of 407, 942, 972, 708 on a calculator?

You can find the GCD of 407, 942, 972, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.