GCD of 945, 830, 964, 902 Calculator

Given Input numbers are 945, 830, 964, 902

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 945, 830, 964, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 830, 964, 902 is 1.

Therefore, GCD of numbers 945, 830, 964, 902 is 1

Given Input Data is 945, 830, 964, 902

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 902 is 2 x 11 x 41

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(945, 830) = 156870

GCD(945, 830) = ( 945 x 830 ) / 156870

GCD(945, 830) = 784350 / 156870

GCD(945, 830) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 964

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

LCM(5, 964) = 4820

GCD(5, 964) = ( 5 x 964 ) / 4820

GCD(5, 964) = 4820 / 4820

GCD(5, 964) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 945, 830, 964, 902 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 945, 830, 964, 902?

GCD of 945, 830, 964, 902 is 1

2. Where do I get the detailed procedure to find GCD of 945, 830, 964, 902?

You can find a detailed procedure to find GCD of 945, 830, 964, 902 on our page.

3. How to find GCD of 945, 830, 964, 902 on a calculator?

You can find the GCD of 945, 830, 964, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.