GCD of 965, 476, 35, 180 Calculator

Given Input numbers are 965, 476, 35, 180

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

Divisors of 965

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

1, 5, 193, 965

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 965, 476, 35, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 476, 35, 180 is 1.

Therefore, GCD of numbers 965, 476, 35, 180 is 1

Given Input Data is 965, 476, 35, 180

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 35 is 5 x 7

Prime Factorization of 180 is 2 x 2 x 3 x 3 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(965, 476) = 459340

GCD(965, 476) = ( 965 x 476 ) / 459340

GCD(965, 476) = 459340 / 459340

GCD(965, 476) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 965, 476, 35, 180 is 1

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1. What is the GCD of 965, 476, 35, 180?

GCD of 965, 476, 35, 180 is 1

2. Where do I get the detailed procedure to find GCD of 965, 476, 35, 180?

You can find a detailed procedure to find GCD of 965, 476, 35, 180 on our page.

3. How to find GCD of 965, 476, 35, 180 on a calculator?

You can find the GCD of 965, 476, 35, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.