GCD of 958, 172, 70, 353 Calculator

Given Input numbers are 958, 172, 70, 353

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 958, 172, 70, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 172, 70, 353 is 1.

Therefore, GCD of numbers 958, 172, 70, 353 is 1

Given Input Data is 958, 172, 70, 353

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 353 is 353

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(958, 172) = 82388

GCD(958, 172) = ( 958 x 172 ) / 82388

GCD(958, 172) = 164776 / 82388

GCD(958, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 958, 172, 70, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 668, 65, 873
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• GCD of 543, 985, 49, 941

1. What is the GCD of 958, 172, 70, 353?

GCD of 958, 172, 70, 353 is 1

2. Where do I get the detailed procedure to find GCD of 958, 172, 70, 353?

You can find a detailed procedure to find GCD of 958, 172, 70, 353 on our page.

3. How to find GCD of 958, 172, 70, 353 on a calculator?

You can find the GCD of 958, 172, 70, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.