GCD of 369, 304, 100, 574 Calculator

Given Input numbers are 369, 304, 100, 574

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 574 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (369, 304, 100, 574) = 1.

Given numbers are 369, 304, 100, 574

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 574 are 2 x 7 x 41

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

Given numbers are 369, 304, 100, 574

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

Apply this formula for all numbers.

Step1:

LCM(369, 304) = 112176

GCD(369, 304) = ( 369 x 304 ) / 112176

= 369 / 304

= 369

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1

So, Greatest Common Divisor of 369, 304, 100, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 998, 645, 578
• GCD of 968, 204, 549, 798
• GCD of 852, 286, 667, 970
• GCD of 637, 436, 218, 952
• GCD of 584, 471, 736, 151

Given numbers are 369, 304, 100, 574
The greatest common divisor of numbers 369, 304, 100, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 304, 100, 574 is 1.

1. What is the GCD of 369, 304, 100, 574?

GCD of given numbers 369, 304, 100, 574 is 1

2. How to calculate the greatest common divisor of 369, 304, 100, 574?

We can find the highest common divisor of 369, 304, 100, 574 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, 304, 100, 574 i.e 1.

3. How can I use the GCD of 369, 304, 100, 574Calculator?

Out the numbers 369, 304, 100, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.