GCD of 160, 185, 965, 769 Calculator

Given Input numbers are 160, 185, 965, 769

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

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 160, 185, 965, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 185, 965, 769 is 1.

Therefore, GCD of numbers 160, 185, 965, 769 is 1

Given Input Data is 160, 185, 965, 769

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

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 965 is 5 x 193

Prime Factorization of 769 is 769

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(160, 185) = 5920

GCD(160, 185) = ( 160 x 185 ) / 5920

GCD(160, 185) = 29600 / 5920

GCD(160, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 965

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

LCM(5, 965) = 965

GCD(5, 965) = ( 5 x 965 ) / 965

GCD(5, 965) = 4825 / 965

GCD(5, 965) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 769

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

LCM(5, 769) = 3845

GCD(5, 769) = ( 5 x 769 ) / 3845

GCD(5, 769) = 3845 / 3845

GCD(5, 769) = 1

GCD of 160, 185, 965, 769 is 1

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1. What is the GCD of 160, 185, 965, 769?

GCD of 160, 185, 965, 769 is 1

2. Where do I get the detailed procedure to find GCD of 160, 185, 965, 769?

You can find a detailed procedure to find GCD of 160, 185, 965, 769 on our page.

3. How to find GCD of 160, 185, 965, 769 on a calculator?

You can find the GCD of 160, 185, 965, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.