GCD of 657, 320, 712, 840 Calculator

Given Input numbers are 657, 320, 712, 840

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 657, 320, 712, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 320, 712, 840 is 1.

Therefore, GCD of numbers 657, 320, 712, 840 is 1

Given Input Data is 657, 320, 712, 840

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(657, 320) = 210240

GCD(657, 320) = ( 657 x 320 ) / 210240

GCD(657, 320) = 210240 / 210240

GCD(657, 320) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 657, 320, 712, 840 is 1

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1. What is the GCD of 657, 320, 712, 840?

GCD of 657, 320, 712, 840 is 1

2. Where do I get the detailed procedure to find GCD of 657, 320, 712, 840?

You can find a detailed procedure to find GCD of 657, 320, 712, 840 on our page.

3. How to find GCD of 657, 320, 712, 840 on a calculator?

You can find the GCD of 657, 320, 712, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.