GCD of 971, 976, 600, 827 Calculator

Given Input numbers are 971, 976, 600, 827

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 971, 976, 600, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 976, 600, 827 is 1.

Therefore, GCD of numbers 971, 976, 600, 827 is 1

Given Input Data is 971, 976, 600, 827

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

Prime Factorization of 971 is 971

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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

Prime Factorization of 827 is 827

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(971, 976) = 947696

GCD(971, 976) = ( 971 x 976 ) / 947696

GCD(971, 976) = 947696 / 947696

GCD(971, 976) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 971, 976, 600, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 123, 979, 461
• GCD of 873, 152, 129, 390
• GCD of 552, 803, 801, 514
• GCD of 904, 938, 730, 429
• GCD of 433, 446, 709, 861

1. What is the GCD of 971, 976, 600, 827?

GCD of 971, 976, 600, 827 is 1

2. Where do I get the detailed procedure to find GCD of 971, 976, 600, 827?

You can find a detailed procedure to find GCD of 971, 976, 600, 827 on our page.

3. How to find GCD of 971, 976, 600, 827 on a calculator?

You can find the GCD of 971, 976, 600, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.