GCD of 857, 732, 142, 369 Calculator

Given Input numbers are 857, 732, 142, 369

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 857, 732, 142, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 732, 142, 369 is 1.

Therefore, GCD of numbers 857, 732, 142, 369 is 1

Given Input Data is 857, 732, 142, 369

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

Prime Factorization of 857 is 857

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 142 is 2 x 71

Prime Factorization of 369 is 3 x 3 x 41

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(857, 732) = 627324

GCD(857, 732) = ( 857 x 732 ) / 627324

GCD(857, 732) = 627324 / 627324

GCD(857, 732) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 857, 732, 142, 369 is 1

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1. What is the GCD of 857, 732, 142, 369?

GCD of 857, 732, 142, 369 is 1

2. Where do I get the detailed procedure to find GCD of 857, 732, 142, 369?

You can find a detailed procedure to find GCD of 857, 732, 142, 369 on our page.

3. How to find GCD of 857, 732, 142, 369 on a calculator?

You can find the GCD of 857, 732, 142, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.