GCD of 400, 914, 989, 936 Calculator

Given Input numbers are 400, 914, 989, 936

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (400, 914, 989, 936) = 1.

Given numbers are 400, 914, 989, 936

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 914 are 2 x 457

Prime factors of 989 are 23 x 43

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 914, 989, 936

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

Apply this formula for all numbers.

Step1:

LCM(400, 914) = 182800

GCD(400, 914) = ( 400 x 914 ) / 182800

= 400 / 914

= 400

Step2:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

Step3:

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

= 1 / 936

= 1

So, Greatest Common Divisor of 400, 914, 989, 936 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 127, 544, 144
• GCD of 548, 752, 668, 777
• GCD of 409, 131, 980, 418
• GCD of 865, 827, 393, 335
• GCD of 470, 246, 296, 479

Given numbers are 400, 914, 989, 936
The greatest common divisor of numbers 400, 914, 989, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 914, 989, 936 is 1.

1. What is the GCD of 400, 914, 989, 936?

GCD of given numbers 400, 914, 989, 936 is 1

2. How to calculate the greatest common divisor of 400, 914, 989, 936?

We can find the highest common divisor of 400, 914, 989, 936 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, 914, 989, 936 i.e 1.

3. How can I use the GCD of 400, 914, 989, 936Calculator?

Out the numbers 400, 914, 989, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.