GCD of 952, 942, 346, 409 Calculator

Given Input numbers are 952, 942, 346, 409

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 952, 942, 346, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 942, 346, 409 is 1.

Therefore, GCD of numbers 952, 942, 346, 409 is 1

Given Input Data is 952, 942, 346, 409

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 346 is 2 x 173

Prime Factorization of 409 is 409

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(952, 942) = 448392

GCD(952, 942) = ( 952 x 942 ) / 448392

GCD(952, 942) = 896784 / 448392

GCD(952, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 952, 942, 346, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 801, 629, 729
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1. What is the GCD of 952, 942, 346, 409?

GCD of 952, 942, 346, 409 is 1

2. Where do I get the detailed procedure to find GCD of 952, 942, 346, 409?

You can find a detailed procedure to find GCD of 952, 942, 346, 409 on our page.

3. How to find GCD of 952, 942, 346, 409 on a calculator?

You can find the GCD of 952, 942, 346, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.