GCD of 402, 740, 653, 128 Calculator

Given Input numbers are 402, 740, 653, 128

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 402, 740, 653, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 740, 653, 128 is 1.

Therefore, GCD of numbers 402, 740, 653, 128 is 1

Given Input Data is 402, 740, 653, 128

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 740 is 2 x 2 x 5 x 37

Prime Factorization of 653 is 653

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 740) = 148740

GCD(402, 740) = ( 402 x 740 ) / 148740

GCD(402, 740) = 297480 / 148740

GCD(402, 740) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 402, 740, 653, 128 is 1

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1. What is the GCD of 402, 740, 653, 128?

GCD of 402, 740, 653, 128 is 1

2. Where do I get the detailed procedure to find GCD of 402, 740, 653, 128?

You can find a detailed procedure to find GCD of 402, 740, 653, 128 on our page.

3. How to find GCD of 402, 740, 653, 128 on a calculator?

You can find the GCD of 402, 740, 653, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.