GCD of 974, 543, 400, 530 Calculator

Given Input numbers are 974, 543, 400, 530

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 974, 543, 400, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 543, 400, 530 is 1.

Therefore, GCD of numbers 974, 543, 400, 530 is 1

Given Input Data is 974, 543, 400, 530

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 543 is 3 x 181

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 530 is 2 x 5 x 53

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(974, 543) = 528882

GCD(974, 543) = ( 974 x 543 ) / 528882

GCD(974, 543) = 528882 / 528882

GCD(974, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 530

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

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

GCD(1, 530) = 530 / 530

GCD(1, 530) = 1

GCD of 974, 543, 400, 530 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 626, 150, 350
• GCD of 366, 347, 421, 405
• GCD of 903, 207, 385, 505
• GCD of 464, 981, 241, 149
• GCD of 969, 170, 998, 912

1. What is the GCD of 974, 543, 400, 530?

GCD of 974, 543, 400, 530 is 1

2. Where do I get the detailed procedure to find GCD of 974, 543, 400, 530?

You can find a detailed procedure to find GCD of 974, 543, 400, 530 on our page.

3. How to find GCD of 974, 543, 400, 530 on a calculator?

You can find the GCD of 974, 543, 400, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.