GCD of 474, 970, 66, 949 Calculator

Given Input numbers are 474, 970, 66, 949

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 474, 970, 66, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 970, 66, 949 is 1.

Therefore, GCD of numbers 474, 970, 66, 949 is 1

Given Input Data is 474, 970, 66, 949

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 949 is 13 x 73

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(474, 970) = 229890

GCD(474, 970) = ( 474 x 970 ) / 229890

GCD(474, 970) = 459780 / 229890

GCD(474, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

GCD of 474, 970, 66, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 495, 60, 556
• GCD of 870, 445, 12, 807
• GCD of 537, 115, 72, 696
• GCD of 701, 371, 45, 330
• GCD of 249, 408, 95, 561

1. What is the GCD of 474, 970, 66, 949?

GCD of 474, 970, 66, 949 is 1

2. Where do I get the detailed procedure to find GCD of 474, 970, 66, 949?

You can find a detailed procedure to find GCD of 474, 970, 66, 949 on our page.

3. How to find GCD of 474, 970, 66, 949 on a calculator?

You can find the GCD of 474, 970, 66, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.