GCD of 462, 363, 400, 178 Calculator

Given Input numbers are 462, 363, 400, 178

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 178 :

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

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (462, 363, 400, 178) = 1.

Given numbers are 462, 363, 400, 178

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 363 are 3 x 11 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 178 are 2 x 89

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

Given numbers are 462, 363, 400, 178

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

Apply this formula for all numbers.

Step1:

LCM(462, 363) = 5082

GCD(462, 363) = ( 462 x 363 ) / 5082

= 462 / 363

= 462

Step2:

LCM(33, 400) = 13200

GCD(33, 400) = ( 33 x 400 ) / 13200

= 33 / 400

= 33

Step3:

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

= 1 / 178

= 1

So, Greatest Common Divisor of 462, 363, 400, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 766, 633, 173
• GCD of 950, 819, 329, 216
• GCD of 186, 562, 866, 792
• GCD of 993, 580, 498, 926
• GCD of 269, 306, 689, 528

Given numbers are 462, 363, 400, 178
The greatest common divisor of numbers 462, 363, 400, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 363, 400, 178 is 1.

1. What is the GCD of 462, 363, 400, 178?

GCD of given numbers 462, 363, 400, 178 is 1

2. How to calculate the greatest common divisor of 462, 363, 400, 178?

We can find the highest common divisor of 462, 363, 400, 178 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 462, 363, 400, 178 i.e 1.

3. How can I use the GCD of 462, 363, 400, 178Calculator?

Out the numbers 462, 363, 400, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.