GCD of 400, 190, 690, 408 Calculator

Given Input numbers are 400, 190, 690, 408

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (400, 190, 690, 408) = 2.

Given numbers are 400, 190, 690, 408

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 190 are 2 x 5 x 19

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 400, 190, 690, 408 is 2.

Given numbers are 400, 190, 690, 408

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

Apply this formula for all numbers.

Step1:

LCM(400, 190) = 7600

GCD(400, 190) = ( 400 x 190 ) / 7600

= 400 / 190

= 400

Step2:

LCM(10, 690) = 690

GCD(10, 690) = ( 10 x 690 ) / 690

= 10 / 690

= 10

Step3:

LCM(10, 408) = 2040

GCD(10, 408) = ( 10 x 408 ) / 2040

= 10 / 408

= 10

So, Greatest Common Divisor of 400, 190, 690, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 105, 539, 228
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Given numbers are 400, 190, 690, 408
The greatest common divisor of numbers 400, 190, 690, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 190, 690, 408 is 2.

1. What is the GCD of 400, 190, 690, 408?

GCD of given numbers 400, 190, 690, 408 is 2

2. How to calculate the greatest common divisor of 400, 190, 690, 408?

We can find the highest common divisor of 400, 190, 690, 408 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, 190, 690, 408 i.e 2.

3. How can I use the GCD of 400, 190, 690, 408Calculator?

Out the numbers 400, 190, 690, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.