GCD of 949, 897, 861, 600 Calculator

Given Input numbers are 949, 897, 861, 600

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

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

Greatest Common Divisior

We found the divisors of 949, 897, 861, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 897, 861, 600 is 1.

Therefore, GCD of numbers 949, 897, 861, 600 is 1

Given Input Data is 949, 897, 861, 600

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 861 is 3 x 7 x 41

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

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(949, 897) = 65481

GCD(949, 897) = ( 949 x 897 ) / 65481

GCD(949, 897) = 851253 / 65481

GCD(949, 897) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 861

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

LCM(13, 861) = 11193

GCD(13, 861) = ( 13 x 861 ) / 11193

GCD(13, 861) = 11193 / 11193

GCD(13, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 949, 897, 861, 600 is 1

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1. What is the GCD of 949, 897, 861, 600?

GCD of 949, 897, 861, 600 is 1

2. Where do I get the detailed procedure to find GCD of 949, 897, 861, 600?

You can find a detailed procedure to find GCD of 949, 897, 861, 600 on our page.

3. How to find GCD of 949, 897, 861, 600 on a calculator?

You can find the GCD of 949, 897, 861, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.