GCD of 880, 545, 319, 964 Calculator

Given Input numbers are 880, 545, 319, 964

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 880, 545, 319, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 545, 319, 964 is 1.

Therefore, GCD of numbers 880, 545, 319, 964 is 1

Given Input Data is 880, 545, 319, 964

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 545 is 5 x 109

Prime Factorization of 319 is 11 x 29

Prime Factorization of 964 is 2 x 2 x 241

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(880, 545) = 95920

GCD(880, 545) = ( 880 x 545 ) / 95920

GCD(880, 545) = 479600 / 95920

GCD(880, 545) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 319

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

LCM(5, 319) = 1595

GCD(5, 319) = ( 5 x 319 ) / 1595

GCD(5, 319) = 1595 / 1595

GCD(5, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 880, 545, 319, 964 is 1

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1. What is the GCD of 880, 545, 319, 964?

GCD of 880, 545, 319, 964 is 1

2. Where do I get the detailed procedure to find GCD of 880, 545, 319, 964?

You can find a detailed procedure to find GCD of 880, 545, 319, 964 on our page.

3. How to find GCD of 880, 545, 319, 964 on a calculator?

You can find the GCD of 880, 545, 319, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.