GCD of 965, 144, 31, 291 Calculator

Given Input numbers are 965, 144, 31, 291

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 965, 144, 31, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 144, 31, 291 is 1.

Therefore, GCD of numbers 965, 144, 31, 291 is 1

Given Input Data is 965, 144, 31, 291

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 31 is 31

Prime Factorization of 291 is 3 x 97

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, 144) = 138960

GCD(965, 144) = ( 965 x 144 ) / 138960

GCD(965, 144) = 138960 / 138960

GCD(965, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 965, 144, 31, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 803, 74, 273
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• GCD of 629, 544, 42, 933
• GCD of 189, 717, 79, 516
• GCD of 975, 498, 29, 444

1. What is the GCD of 965, 144, 31, 291?

GCD of 965, 144, 31, 291 is 1

2. Where do I get the detailed procedure to find GCD of 965, 144, 31, 291?

You can find a detailed procedure to find GCD of 965, 144, 31, 291 on our page.

3. How to find GCD of 965, 144, 31, 291 on a calculator?

You can find the GCD of 965, 144, 31, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.