GCD of 402, 661, 450, 253 Calculator

Given Input numbers are 402, 661, 450, 253

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

Divisors of 402

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

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 402, 661, 450, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 661, 450, 253 is 1.

Therefore, GCD of numbers 402, 661, 450, 253 is 1

Given Input Data is 402, 661, 450, 253

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 661 is 661

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 253 is 11 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(402, 661) = 265722

GCD(402, 661) = ( 402 x 661 ) / 265722

GCD(402, 661) = 265722 / 265722

GCD(402, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 402, 661, 450, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 805, 175, 930
• GCD of 176, 777, 129, 654
• GCD of 793, 884, 820, 818
• GCD of 463, 471, 159, 609
• GCD of 231, 702, 439, 687

1. What is the GCD of 402, 661, 450, 253?

GCD of 402, 661, 450, 253 is 1

2. Where do I get the detailed procedure to find GCD of 402, 661, 450, 253?

You can find a detailed procedure to find GCD of 402, 661, 450, 253 on our page.

3. How to find GCD of 402, 661, 450, 253 on a calculator?

You can find the GCD of 402, 661, 450, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.