GCD of 70, 522, 142, 345 Calculator

Given Input numbers are 70, 522, 142, 345

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 70, 522, 142, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 522, 142, 345 is 1.

Therefore, GCD of numbers 70, 522, 142, 345 is 1

Given Input Data is 70, 522, 142, 345

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 142 is 2 x 71

Prime Factorization of 345 is 3 x 5 x 23

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(70, 522) = 18270

GCD(70, 522) = ( 70 x 522 ) / 18270

GCD(70, 522) = 36540 / 18270

GCD(70, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 70, 522, 142, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 259, 826, 281
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• GCD of 83, 782, 344, 571
• GCD of 10, 614, 450, 705
• GCD of 37, 337, 534, 701

1. What is the GCD of 70, 522, 142, 345?

GCD of 70, 522, 142, 345 is 1

2. Where do I get the detailed procedure to find GCD of 70, 522, 142, 345?

You can find a detailed procedure to find GCD of 70, 522, 142, 345 on our page.

3. How to find GCD of 70, 522, 142, 345 on a calculator?

You can find the GCD of 70, 522, 142, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.