GCD of 158, 348, 424, 400 Calculator

Given Input numbers are 158, 348, 424, 400

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

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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 (158, 348, 424, 400) = 2.

Given numbers are 158, 348, 424, 400

The list of prime factors of all numbers are

Prime factors of 158 are 2 x 79

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 424 are 2 x 2 x 2 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 158, 348, 424, 400 is 2.

Given numbers are 158, 348, 424, 400

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

Apply this formula for all numbers.

Step1:

LCM(158, 348) = 27492

GCD(158, 348) = ( 158 x 348 ) / 27492

= 158 / 348

= 158

Step2:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 158, 348, 424, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 332, 319, 954
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• GCD of 904, 402, 455, 807

Given numbers are 158, 348, 424, 400
The greatest common divisor of numbers 158, 348, 424, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 158, 348, 424, 400 is 2.

1. What is the GCD of 158, 348, 424, 400?

GCD of given numbers 158, 348, 424, 400 is 2

2. How to calculate the greatest common divisor of 158, 348, 424, 400?

We can find the highest common divisor of 158, 348, 424, 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 158, 348, 424, 400 i.e 2.

3. How can I use the GCD of 158, 348, 424, 400Calculator?

Out the numbers 158, 348, 424, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.