GCD of 156, 700, 823, 387 Calculator

Given Input numbers are 156, 700, 823, 387

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 156, 700, 823, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 700, 823, 387 is 1.

Therefore, GCD of numbers 156, 700, 823, 387 is 1

Given Input Data is 156, 700, 823, 387

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 823 is 823

Prime Factorization of 387 is 3 x 3 x 43

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(156, 700) = 27300

GCD(156, 700) = ( 156 x 700 ) / 27300

GCD(156, 700) = 109200 / 27300

GCD(156, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 823

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

LCM(4, 823) = 3292

GCD(4, 823) = ( 4 x 823 ) / 3292

GCD(4, 823) = 3292 / 3292

GCD(4, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 156, 700, 823, 387 is 1

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• GCD of 725, 708, 899, 328
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• GCD of 328, 671, 111, 110

1. What is the GCD of 156, 700, 823, 387?

GCD of 156, 700, 823, 387 is 1

2. Where do I get the detailed procedure to find GCD of 156, 700, 823, 387?

You can find a detailed procedure to find GCD of 156, 700, 823, 387 on our page.

3. How to find GCD of 156, 700, 823, 387 on a calculator?

You can find the GCD of 156, 700, 823, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.