GCD of 753, 400, 740, 136 Calculator

Given Input numbers are 753, 400, 740, 136

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 753, 400, 740, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 400, 740, 136 is 1.

Therefore, GCD of numbers 753, 400, 740, 136 is 1

Given Input Data is 753, 400, 740, 136

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(753, 400) = 301200

GCD(753, 400) = ( 753 x 400 ) / 301200

GCD(753, 400) = 301200 / 301200

GCD(753, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 753, 400, 740, 136 is 1

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1. What is the GCD of 753, 400, 740, 136?

GCD of 753, 400, 740, 136 is 1

2. Where do I get the detailed procedure to find GCD of 753, 400, 740, 136?

You can find a detailed procedure to find GCD of 753, 400, 740, 136 on our page.

3. How to find GCD of 753, 400, 740, 136 on a calculator?

You can find the GCD of 753, 400, 740, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.