GCD of 153, 294, 46, 970 Calculator

Given Input numbers are 153, 294, 46, 970

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 970

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

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

Greatest Common Divisior

We found the divisors of 153, 294, 46, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 294, 46, 970 is 1.

Therefore, GCD of numbers 153, 294, 46, 970 is 1

Given Input Data is 153, 294, 46, 970

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 46 is 2 x 23

Prime Factorization of 970 is 2 x 5 x 97

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(153, 294) = 14994

GCD(153, 294) = ( 153 x 294 ) / 14994

GCD(153, 294) = 44982 / 14994

GCD(153, 294) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 153, 294, 46, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 143, 88, 235
• GCD of 205, 575, 50, 953
• GCD of 377, 531, 95, 945
• GCD of 459, 460, 62, 556
• GCD of 101, 335, 91, 823

1. What is the GCD of 153, 294, 46, 970?

GCD of 153, 294, 46, 970 is 1

2. Where do I get the detailed procedure to find GCD of 153, 294, 46, 970?

You can find a detailed procedure to find GCD of 153, 294, 46, 970 on our page.

3. How to find GCD of 153, 294, 46, 970 on a calculator?

You can find the GCD of 153, 294, 46, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.