GCD of 353, 968, 74, 955 Calculator

Given Input numbers are 353, 968, 74, 955

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

Divisors of 353

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

1, 353

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 353, 968, 74, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 968, 74, 955 is 1.

Therefore, GCD of numbers 353, 968, 74, 955 is 1

Given Input Data is 353, 968, 74, 955

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

Prime Factorization of 353 is 353

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 955 is 5 x 191

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(353, 968) = 341704

GCD(353, 968) = ( 353 x 968 ) / 341704

GCD(353, 968) = 341704 / 341704

GCD(353, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 353, 968, 74, 955 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 338, 93, 110
• GCD of 765, 567, 59, 383
• GCD of 868, 531, 38, 822
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• GCD of 632, 900, 35, 972

1. What is the GCD of 353, 968, 74, 955?

GCD of 353, 968, 74, 955 is 1

2. Where do I get the detailed procedure to find GCD of 353, 968, 74, 955?

You can find a detailed procedure to find GCD of 353, 968, 74, 955 on our page.

3. How to find GCD of 353, 968, 74, 955 on a calculator?

You can find the GCD of 353, 968, 74, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.