GCD of 476, 364, 178, 450 Calculator

Given Input numbers are 476, 364, 178, 450

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

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

GCD of numbers is the greatest common divisor

So, the GCD (476, 364, 178, 450) = 2.

Given numbers are 476, 364, 178, 450

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 178 are 2 x 89

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

The highest common occurrence is 2¹

Therefore, GCD of 476, 364, 178, 450 is 2.

Given numbers are 476, 364, 178, 450

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

Apply this formula for all numbers.

Step1:

LCM(476, 364) = 6188

GCD(476, 364) = ( 476 x 364 ) / 6188

= 476 / 364

= 476

Step2:

LCM(28, 178) = 2492

GCD(28, 178) = ( 28 x 178 ) / 2492

= 28 / 178

= 28

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 476, 364, 178, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 711, 114, 589
• GCD of 916, 434, 300, 429
• GCD of 584, 562, 722, 348
• GCD of 460, 954, 614, 977
• GCD of 931, 598, 107, 601

Given numbers are 476, 364, 178, 450
The greatest common divisor of numbers 476, 364, 178, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 364, 178, 450 is 2.

1. What is the GCD of 476, 364, 178, 450?

GCD of given numbers 476, 364, 178, 450 is 2

2. How to calculate the greatest common divisor of 476, 364, 178, 450?

We can find the highest common divisor of 476, 364, 178, 450 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 476, 364, 178, 450 i.e 2.

3. How can I use the GCD of 476, 364, 178, 450Calculator?

Out the numbers 476, 364, 178, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.