GCD of 42, 407, 147, 970 Calculator

Given Input numbers are 42, 407, 147, 970

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

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 42, 407, 147, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 407, 147, 970 is 1.

Therefore, GCD of numbers 42, 407, 147, 970 is 1

Given Input Data is 42, 407, 147, 970

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 407 is 11 x 37

Prime Factorization of 147 is 3 x 7 x 7

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(42, 407) = 17094

GCD(42, 407) = ( 42 x 407 ) / 17094

GCD(42, 407) = 17094 / 17094

GCD(42, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 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 42, 407, 147, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 372, 735, 715
• GCD of 19, 161, 323, 346
• GCD of 10, 578, 783, 147
• GCD of 95, 320, 803, 770
• GCD of 49, 555, 771, 199

1. What is the GCD of 42, 407, 147, 970?

GCD of 42, 407, 147, 970 is 1

2. Where do I get the detailed procedure to find GCD of 42, 407, 147, 970?

You can find a detailed procedure to find GCD of 42, 407, 147, 970 on our page.

3. How to find GCD of 42, 407, 147, 970 on a calculator?

You can find the GCD of 42, 407, 147, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.