GCD of 576, 402, 450, 142 Calculator

Given Input numbers are 576, 402, 450, 142

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (576, 402, 450, 142) = 2.

Given numbers are 576, 402, 450, 142

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 402 are 2 x 3 x 67

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 576, 402, 450, 142 is 2.

Given numbers are 576, 402, 450, 142

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

Apply this formula for all numbers.

Step1:

LCM(576, 402) = 38592

GCD(576, 402) = ( 576 x 402 ) / 38592

= 576 / 402

= 576

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 142) = 426

GCD(6, 142) = ( 6 x 142 ) / 426

= 6 / 142

= 6

So, Greatest Common Divisor of 576, 402, 450, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 554, 623, 630
• GCD of 179, 284, 796, 887
• GCD of 144, 153, 571, 891
• GCD of 187, 381, 783, 894
• GCD of 113, 178, 710, 223

Given numbers are 576, 402, 450, 142
The greatest common divisor of numbers 576, 402, 450, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 402, 450, 142 is 2.

1. What is the GCD of 576, 402, 450, 142?

GCD of given numbers 576, 402, 450, 142 is 2

2. How to calculate the greatest common divisor of 576, 402, 450, 142?

We can find the highest common divisor of 576, 402, 450, 142 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 576, 402, 450, 142 i.e 2.

3. How can I use the GCD of 576, 402, 450, 142Calculator?

Out the numbers 576, 402, 450, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.