GCD of 178, 400, 286, 438 Calculator

Given Input numbers are 178, 400, 286, 438

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 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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (178, 400, 286, 438) = 2.

Given numbers are 178, 400, 286, 438

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

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

Prime factors of 286 are 2 x 11 x 13

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 178, 400, 286, 438 is 2.

Given numbers are 178, 400, 286, 438

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

Apply this formula for all numbers.

Step1:

LCM(178, 400) = 35600

GCD(178, 400) = ( 178 x 400 ) / 35600

= 178 / 400

= 178

Step2:

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

= 2 / 286

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 178, 400, 286, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 429, 673, 767
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• GCD of 552, 572, 270, 673
• GCD of 993, 518, 417, 866

Given numbers are 178, 400, 286, 438
The greatest common divisor of numbers 178, 400, 286, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 400, 286, 438 is 2.

1. What is the GCD of 178, 400, 286, 438?

GCD of given numbers 178, 400, 286, 438 is 2

2. How to calculate the greatest common divisor of 178, 400, 286, 438?

We can find the highest common divisor of 178, 400, 286, 438 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, 400, 286, 438 i.e 2.

3. How can I use the GCD of 178, 400, 286, 438Calculator?

Out the numbers 178, 400, 286, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.