GCD of 684, 560, 95, 362 Calculator

Given Input numbers are 684, 560, 95, 362

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 684, 560, 95, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 560, 95, 362 is 1.

Therefore, GCD of numbers 684, 560, 95, 362 is 1

Given Input Data is 684, 560, 95, 362

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 95 is 5 x 19

Prime Factorization of 362 is 2 x 181

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(684, 560) = 95760

GCD(684, 560) = ( 684 x 560 ) / 95760

GCD(684, 560) = 383040 / 95760

GCD(684, 560) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 95

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

LCM(4, 95) = 380

GCD(4, 95) = ( 4 x 95 ) / 380

GCD(4, 95) = 380 / 380

GCD(4, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 684, 560, 95, 362 is 1

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1. What is the GCD of 684, 560, 95, 362?

GCD of 684, 560, 95, 362 is 1

2. Where do I get the detailed procedure to find GCD of 684, 560, 95, 362?

You can find a detailed procedure to find GCD of 684, 560, 95, 362 on our page.

3. How to find GCD of 684, 560, 95, 362 on a calculator?

You can find the GCD of 684, 560, 95, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.