GCD of 400, 462, 135, 174 Calculator

Given Input numbers are 400, 462, 135, 174

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

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 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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (400, 462, 135, 174) = 1.

Given numbers are 400, 462, 135, 174

The list of prime factors of all numbers are

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

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

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 174 are 2 x 3 x 29

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

Given numbers are 400, 462, 135, 174

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

Apply this formula for all numbers.

Step1:

LCM(400, 462) = 92400

GCD(400, 462) = ( 400 x 462 ) / 92400

= 400 / 462

= 400

Step2:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

Step3:

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

= 1 / 174

= 1

So, Greatest Common Divisor of 400, 462, 135, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 654, 211, 763
• GCD of 457, 906, 826, 570
• GCD of 299, 242, 408, 539
• GCD of 786, 793, 739, 654
• GCD of 955, 576, 214, 486

Given numbers are 400, 462, 135, 174
The greatest common divisor of numbers 400, 462, 135, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 462, 135, 174 is 1.

1. What is the GCD of 400, 462, 135, 174?

GCD of given numbers 400, 462, 135, 174 is 1

2. How to calculate the greatest common divisor of 400, 462, 135, 174?

We can find the highest common divisor of 400, 462, 135, 174 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 400, 462, 135, 174 i.e 1.

3. How can I use the GCD of 400, 462, 135, 174Calculator?

Out the numbers 400, 462, 135, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.