GCD of 600, 381, 157, 752 Calculator

Given Input numbers are 600, 381, 157, 752

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 600, 381, 157, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 381, 157, 752 is 1.

Therefore, GCD of numbers 600, 381, 157, 752 is 1

Given Input Data is 600, 381, 157, 752

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 381 is 3 x 127

Prime Factorization of 157 is 157

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(600, 381) = 76200

GCD(600, 381) = ( 600 x 381 ) / 76200

GCD(600, 381) = 228600 / 76200

GCD(600, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 157

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

LCM(3, 157) = 471

GCD(3, 157) = ( 3 x 157 ) / 471

GCD(3, 157) = 471 / 471

GCD(3, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 600, 381, 157, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 246, 367, 728
• GCD of 436, 505, 214, 884
• GCD of 528, 431, 542, 388
• GCD of 146, 140, 345, 618
• GCD of 755, 531, 210, 980

1. What is the GCD of 600, 381, 157, 752?

GCD of 600, 381, 157, 752 is 1

2. Where do I get the detailed procedure to find GCD of 600, 381, 157, 752?

You can find a detailed procedure to find GCD of 600, 381, 157, 752 on our page.

3. How to find GCD of 600, 381, 157, 752 on a calculator?

You can find the GCD of 600, 381, 157, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.