GCD of 120, 200, 404, 645 Calculator

Given Input numbers are 120, 200, 404, 645

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

GCD of numbers is the greatest common divisor

So, the GCD (120, 200, 404, 645) = 1.

Given numbers are 120, 200, 404, 645

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 404 are 2 x 2 x 101

Prime factors of 645 are 3 x 5 x 43

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

Given numbers are 120, 200, 404, 645

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

Apply this formula for all numbers.

Step1:

LCM(120, 200) = 600

GCD(120, 200) = ( 120 x 200 ) / 600

= 120 / 200

= 120

Step2:

LCM(40, 404) = 4040

GCD(40, 404) = ( 40 x 404 ) / 4040

= 40 / 404

= 40

Step3:

LCM(4, 645) = 2580

GCD(4, 645) = ( 4 x 645 ) / 2580

= 4 / 645

= 4

So, Greatest Common Divisor of 120, 200, 404, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 256, 608, 558
• GCD of 220, 127, 968, 517
• GCD of 390, 812, 976, 679
• GCD of 697, 394, 499, 565
• GCD of 909, 395, 954, 333

Given numbers are 120, 200, 404, 645
The greatest common divisor of numbers 120, 200, 404, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 200, 404, 645 is 1.

1. What is the GCD of 120, 200, 404, 645?

GCD of given numbers 120, 200, 404, 645 is 1

2. How to calculate the greatest common divisor of 120, 200, 404, 645?

We can find the highest common divisor of 120, 200, 404, 645 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 120, 200, 404, 645 i.e 1.

3. How can I use the GCD of 120, 200, 404, 645Calculator?

Out the numbers 120, 200, 404, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.