GCD of 596, 177, 77, 160 Calculator

Given Input numbers are 596, 177, 77, 160

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

Greatest Common Divisior

We found the divisors of 596, 177, 77, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 177, 77, 160 is 1.

Therefore, GCD of numbers 596, 177, 77, 160 is 1

Given Input Data is 596, 177, 77, 160

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 177 is 3 x 59

Prime Factorization of 77 is 7 x 11

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(596, 177) = 105492

GCD(596, 177) = ( 596 x 177 ) / 105492

GCD(596, 177) = 105492 / 105492

GCD(596, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 596, 177, 77, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 903, 80, 911
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• GCD of 121, 617, 14, 934
• GCD of 269, 282, 83, 645
• GCD of 448, 666, 43, 861

1. What is the GCD of 596, 177, 77, 160?

GCD of 596, 177, 77, 160 is 1

2. Where do I get the detailed procedure to find GCD of 596, 177, 77, 160?

You can find a detailed procedure to find GCD of 596, 177, 77, 160 on our page.

3. How to find GCD of 596, 177, 77, 160 on a calculator?

You can find the GCD of 596, 177, 77, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.