GCD of 408, 356, 940, 890 Calculator

Given Input numbers are 408, 356, 940, 890

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

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (408, 356, 940, 890) = 2.

Given numbers are 408, 356, 940, 890

The list of prime factors of all numbers are

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

Prime factors of 356 are 2 x 2 x 89

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 408, 356, 940, 890 is 2.

Given numbers are 408, 356, 940, 890

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

Apply this formula for all numbers.

Step1:

LCM(408, 356) = 36312

GCD(408, 356) = ( 408 x 356 ) / 36312

= 408 / 356

= 408

Step2:

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

= 4 / 940

= 4

Step3:

LCM(4, 890) = 1780

GCD(4, 890) = ( 4 x 890 ) / 1780

= 4 / 890

= 4

So, Greatest Common Divisor of 408, 356, 940, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 251, 251, 277
• GCD of 353, 776, 174, 784
• GCD of 934, 216, 832, 330
• GCD of 324, 460, 374, 995
• GCD of 825, 493, 717, 669

Given numbers are 408, 356, 940, 890
The greatest common divisor of numbers 408, 356, 940, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 356, 940, 890 is 2.

1. What is the GCD of 408, 356, 940, 890?

GCD of given numbers 408, 356, 940, 890 is 2

2. How to calculate the greatest common divisor of 408, 356, 940, 890?

We can find the highest common divisor of 408, 356, 940, 890 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 408, 356, 940, 890 i.e 2.

3. How can I use the GCD of 408, 356, 940, 890Calculator?

Out the numbers 408, 356, 940, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.