GCD of 970, 630, 296, 945 Calculator

Given Input numbers are 970, 630, 296, 945

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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

Greatest Common Divisior

We found the divisors of 970, 630, 296, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 630, 296, 945 is 1.

Therefore, GCD of numbers 970, 630, 296, 945 is 1

Given Input Data is 970, 630, 296, 945

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

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(970, 630) = 61110

GCD(970, 630) = ( 970 x 630 ) / 61110

GCD(970, 630) = 611100 / 61110

GCD(970, 630) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 296

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

LCM(10, 296) = 1480

GCD(10, 296) = ( 10 x 296 ) / 1480

GCD(10, 296) = 2960 / 1480

GCD(10, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 945

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

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

GCD(2, 945) = 1890 / 1890

GCD(2, 945) = 1

GCD of 970, 630, 296, 945 is 1

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1. What is the GCD of 970, 630, 296, 945?

GCD of 970, 630, 296, 945 is 1

2. Where do I get the detailed procedure to find GCD of 970, 630, 296, 945?

You can find a detailed procedure to find GCD of 970, 630, 296, 945 on our page.

3. How to find GCD of 970, 630, 296, 945 on a calculator?

You can find the GCD of 970, 630, 296, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.