GCD of 974, 791, 240, 189 Calculator

Given Input numbers are 974, 791, 240, 189

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 974, 791, 240, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 791, 240, 189 is 1.

Therefore, GCD of numbers 974, 791, 240, 189 is 1

Given Input Data is 974, 791, 240, 189

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 791 is 7 x 113

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 791) = 770434

GCD(974, 791) = ( 974 x 791 ) / 770434

GCD(974, 791) = 770434 / 770434

GCD(974, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 974, 791, 240, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 670, 549, 240
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• GCD of 390, 528, 988, 662

1. What is the GCD of 974, 791, 240, 189?

GCD of 974, 791, 240, 189 is 1

2. Where do I get the detailed procedure to find GCD of 974, 791, 240, 189?

You can find a detailed procedure to find GCD of 974, 791, 240, 189 on our page.

3. How to find GCD of 974, 791, 240, 189 on a calculator?

You can find the GCD of 974, 791, 240, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.