GCD of 196, 585, 749, 398 Calculator

Given Input numbers are 196, 585, 749, 398

In the factoring method, we have to find the divisors of all numbers

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (196, 585, 749, 398) = 1.

Given numbers are 196, 585, 749, 398

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 749 are 7 x 107

Prime factors of 398 are 2 x 199

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 196, 585, 749, 398

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(196, 585) = 114660

GCD(196, 585) = ( 196 x 585 ) / 114660

= 196 / 585

= 196

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 196, 585, 749, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 402, 549, 321
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• GCD of 985, 941, 674, 860
• GCD of 955, 320, 317, 168

Given numbers are 196, 585, 749, 398
The greatest common divisor of numbers 196, 585, 749, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 585, 749, 398 is 1.

1. What is the GCD of 196, 585, 749, 398?

GCD of given numbers 196, 585, 749, 398 is 1

2. How to calculate the greatest common divisor of 196, 585, 749, 398?

We can find the highest common divisor of 196, 585, 749, 398 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 196, 585, 749, 398 i.e 1.

3. How can I use the GCD of 196, 585, 749, 398Calculator?

Out the numbers 196, 585, 749, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.