GCD of 356, 248, 53, 402 Calculator

Given Input numbers are 356, 248, 53, 402

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 356, 248, 53, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 248, 53, 402 is 1.

Therefore, GCD of numbers 356, 248, 53, 402 is 1

Given Input Data is 356, 248, 53, 402

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 53 is 53

Prime Factorization of 402 is 2 x 3 x 67

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(356, 248) = 22072

GCD(356, 248) = ( 356 x 248 ) / 22072

GCD(356, 248) = 88288 / 22072

GCD(356, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 356, 248, 53, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 348, 75, 733
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• GCD of 450, 590, 68, 584
• GCD of 198, 955, 99, 718
• GCD of 905, 587, 69, 136

1. What is the GCD of 356, 248, 53, 402?

GCD of 356, 248, 53, 402 is 1

2. Where do I get the detailed procedure to find GCD of 356, 248, 53, 402?

You can find a detailed procedure to find GCD of 356, 248, 53, 402 on our page.

3. How to find GCD of 356, 248, 53, 402 on a calculator?

You can find the GCD of 356, 248, 53, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.