GCD of 974, 649, 595, 199 Calculator

Given Input numbers are 974, 649, 595, 199

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 974, 649, 595, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 649, 595, 199 is 1.

Therefore, GCD of numbers 974, 649, 595, 199 is 1

Given Input Data is 974, 649, 595, 199

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 649 is 11 x 59

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 199 is 199

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, 649) = 632126

GCD(974, 649) = ( 974 x 649 ) / 632126

GCD(974, 649) = 632126 / 632126

GCD(974, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 974, 649, 595, 199 is 1

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1. What is the GCD of 974, 649, 595, 199?

GCD of 974, 649, 595, 199 is 1

2. Where do I get the detailed procedure to find GCD of 974, 649, 595, 199?

You can find a detailed procedure to find GCD of 974, 649, 595, 199 on our page.

3. How to find GCD of 974, 649, 595, 199 on a calculator?

You can find the GCD of 974, 649, 595, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.