GCD of 354, 400, 200, 638 Calculator

Given Input numbers are 354, 400, 200, 638

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (354, 400, 200, 638) = 2.

Given numbers are 354, 400, 200, 638

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 354, 400, 200, 638 is 2.

Given numbers are 354, 400, 200, 638

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

Apply this formula for all numbers.

Step1:

LCM(354, 400) = 70800

GCD(354, 400) = ( 354 x 400 ) / 70800

= 354 / 400

= 354

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 354, 400, 200, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 363, 346, 518
• GCD of 580, 647, 603, 597
• GCD of 687, 312, 507, 520
• GCD of 343, 907, 215, 205
• GCD of 771, 755, 559, 123

Given numbers are 354, 400, 200, 638
The greatest common divisor of numbers 354, 400, 200, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 400, 200, 638 is 2.

1. What is the GCD of 354, 400, 200, 638?

GCD of given numbers 354, 400, 200, 638 is 2

2. How to calculate the greatest common divisor of 354, 400, 200, 638?

We can find the highest common divisor of 354, 400, 200, 638 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 354, 400, 200, 638 i.e 2.

3. How can I use the GCD of 354, 400, 200, 638Calculator?

Out the numbers 354, 400, 200, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.