GCD of 892, 320, 620, 969 Calculator

Given Input numbers are 892, 320, 620, 969

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 892, 320, 620, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 320, 620, 969 is 1.

Therefore, GCD of numbers 892, 320, 620, 969 is 1

Given Input Data is 892, 320, 620, 969

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

Prime Factorization of 892 is 2 x 2 x 223

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

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 969 is 3 x 17 x 19

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(892, 320) = 71360

GCD(892, 320) = ( 892 x 320 ) / 71360

GCD(892, 320) = 285440 / 71360

GCD(892, 320) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 620

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

LCM(4, 620) = 620

GCD(4, 620) = ( 4 x 620 ) / 620

GCD(4, 620) = 2480 / 620

GCD(4, 620) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 969

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

LCM(4, 969) = 3876

GCD(4, 969) = ( 4 x 969 ) / 3876

GCD(4, 969) = 3876 / 3876

GCD(4, 969) = 1

GCD of 892, 320, 620, 969 is 1

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1. What is the GCD of 892, 320, 620, 969?

GCD of 892, 320, 620, 969 is 1

2. Where do I get the detailed procedure to find GCD of 892, 320, 620, 969?

You can find a detailed procedure to find GCD of 892, 320, 620, 969 on our page.

3. How to find GCD of 892, 320, 620, 969 on a calculator?

You can find the GCD of 892, 320, 620, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.