GCD of 178, 429, 828, 400 Calculator

Given Input numbers are 178, 429, 828, 400

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

Divisors of 178 :

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

1, 2, 89, 178

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 (178, 429, 828, 400) = 1.

Given numbers are 178, 429, 828, 400

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 429 are 3 x 11 x 13

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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 178, 429, 828, 400

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

Apply this formula for all numbers.

Step1:

LCM(178, 429) = 76362

GCD(178, 429) = ( 178 x 429 ) / 76362

= 178 / 429

= 178

Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 178, 429, 828, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 624, 266, 920
• GCD of 819, 135, 603, 541
• GCD of 666, 377, 698, 520
• GCD of 771, 729, 344, 584
• GCD of 951, 680, 368, 430

Given numbers are 178, 429, 828, 400
The greatest common divisor of numbers 178, 429, 828, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 429, 828, 400 is 1.

1. What is the GCD of 178, 429, 828, 400?

GCD of given numbers 178, 429, 828, 400 is 1

2. How to calculate the greatest common divisor of 178, 429, 828, 400?

We can find the highest common divisor of 178, 429, 828, 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 178, 429, 828, 400 i.e 1.

3. How can I use the GCD of 178, 429, 828, 400Calculator?

Out the numbers 178, 429, 828, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.