GCD of 975, 964, 880, 349 Calculator

Given Input numbers are 975, 964, 880, 349

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 964

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

1, 2, 4, 241, 482, 964

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 975, 964, 880, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 964, 880, 349 is 1.

Therefore, GCD of numbers 975, 964, 880, 349 is 1

Given Input Data is 975, 964, 880, 349

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 964 is 2 x 2 x 241

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

Prime Factorization of 349 is 349

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(975, 964) = 939900

GCD(975, 964) = ( 975 x 964 ) / 939900

GCD(975, 964) = 939900 / 939900

GCD(975, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 975, 964, 880, 349 is 1

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1. What is the GCD of 975, 964, 880, 349?

GCD of 975, 964, 880, 349 is 1

2. Where do I get the detailed procedure to find GCD of 975, 964, 880, 349?

You can find a detailed procedure to find GCD of 975, 964, 880, 349 on our page.

3. How to find GCD of 975, 964, 880, 349 on a calculator?

You can find the GCD of 975, 964, 880, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.