GCD of 462, 177, 388, 400 Calculator

Given Input numbers are 462, 177, 388, 400

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 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 177, 388, 400) = 1.

Given numbers are 462, 177, 388, 400

The list of prime factors of all numbers are

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

Prime factors of 177 are 3 x 59

Prime factors of 388 are 2 x 2 x 97

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

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

Given numbers are 462, 177, 388, 400

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

Apply this formula for all numbers.

Step1:

LCM(462, 177) = 27258

GCD(462, 177) = ( 462 x 177 ) / 27258

= 462 / 177

= 462

Step2:

LCM(3, 388) = 1164

GCD(3, 388) = ( 3 x 388 ) / 1164

= 3 / 388

= 3

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 462, 177, 388, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 799, 256, 722
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• GCD of 823, 958, 553, 572
• GCD of 955, 591, 293, 610
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Given numbers are 462, 177, 388, 400
The greatest common divisor of numbers 462, 177, 388, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 177, 388, 400 is 1.

1. What is the GCD of 462, 177, 388, 400?

GCD of given numbers 462, 177, 388, 400 is 1

2. How to calculate the greatest common divisor of 462, 177, 388, 400?

We can find the highest common divisor of 462, 177, 388, 400 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, 177, 388, 400 i.e 1.

3. How can I use the GCD of 462, 177, 388, 400Calculator?

Out the numbers 462, 177, 388, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.