GCD of 369, 574, 194, 684 Calculator

Given Input numbers are 369, 574, 194, 684

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (369, 574, 194, 684) = 1.

Given numbers are 369, 574, 194, 684

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 574 are 2 x 7 x 41

Prime factors of 194 are 2 x 97

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 369, 574, 194, 684

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

Apply this formula for all numbers.

Step1:

LCM(369, 574) = 5166

GCD(369, 574) = ( 369 x 574 ) / 5166

= 369 / 574

= 369

Step2:

LCM(41, 194) = 7954

GCD(41, 194) = ( 41 x 194 ) / 7954

= 41 / 194

= 41

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 369, 574, 194, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 414, 359, 237
• GCD of 619, 899, 573, 582
• GCD of 326, 517, 231, 686
• GCD of 183, 604, 221, 582
• GCD of 846, 709, 136, 205

Given numbers are 369, 574, 194, 684
The greatest common divisor of numbers 369, 574, 194, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 574, 194, 684 is 1.

1. What is the GCD of 369, 574, 194, 684?

GCD of given numbers 369, 574, 194, 684 is 1

2. How to calculate the greatest common divisor of 369, 574, 194, 684?

We can find the highest common divisor of 369, 574, 194, 684 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 369, 574, 194, 684 i.e 1.

3. How can I use the GCD of 369, 574, 194, 684Calculator?

Out the numbers 369, 574, 194, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.