GCD of 320, 236, 977, 189 Calculator

Given Input numbers are 320, 236, 977, 189

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

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 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 320, 236, 977, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 236, 977, 189 is 1.

Therefore, GCD of numbers 320, 236, 977, 189 is 1

Given Input Data is 320, 236, 977, 189

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

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 977 is 977

Prime Factorization of 189 is 3 x 3 x 3 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(320, 236) = 18880

GCD(320, 236) = ( 320 x 236 ) / 18880

GCD(320, 236) = 75520 / 18880

GCD(320, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 977

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

LCM(4, 977) = 3908

GCD(4, 977) = ( 4 x 977 ) / 3908

GCD(4, 977) = 3908 / 3908

GCD(4, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 320, 236, 977, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 456, 124, 109
• GCD of 177, 728, 709, 693
• GCD of 329, 665, 198, 191
• GCD of 215, 994, 591, 754
• GCD of 527, 974, 243, 876

1. What is the GCD of 320, 236, 977, 189?

GCD of 320, 236, 977, 189 is 1

2. Where do I get the detailed procedure to find GCD of 320, 236, 977, 189?

You can find a detailed procedure to find GCD of 320, 236, 977, 189 on our page.

3. How to find GCD of 320, 236, 977, 189 on a calculator?

You can find the GCD of 320, 236, 977, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.