GCD of 392, 970, 55, 537 Calculator

Given Input numbers are 392, 970, 55, 537

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 392, 970, 55, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 970, 55, 537 is 1.

Therefore, GCD of numbers 392, 970, 55, 537 is 1

Given Input Data is 392, 970, 55, 537

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 55 is 5 x 11

Prime Factorization of 537 is 3 x 179

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(392, 970) = 190120

GCD(392, 970) = ( 392 x 970 ) / 190120

GCD(392, 970) = 380240 / 190120

GCD(392, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 392, 970, 55, 537 is 1

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1. What is the GCD of 392, 970, 55, 537?

GCD of 392, 970, 55, 537 is 1

2. Where do I get the detailed procedure to find GCD of 392, 970, 55, 537?

You can find a detailed procedure to find GCD of 392, 970, 55, 537 on our page.

3. How to find GCD of 392, 970, 55, 537 on a calculator?

You can find the GCD of 392, 970, 55, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.