GCD of 689, 400, 90, 924 Calculator

Given Input numbers are 689, 400, 90, 924

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (689, 400, 90, 924) = 1.

Given numbers are 689, 400, 90, 924

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Given numbers are 689, 400, 90, 924

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

Apply this formula for all numbers.

Step1:

LCM(689, 400) = 275600

GCD(689, 400) = ( 689 x 400 ) / 275600

= 689 / 400

= 689

Step2:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1

Step3:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1

So, Greatest Common Divisor of 689, 400, 90, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 138, 73, 244
• GCD of 140, 158, 27, 589
• GCD of 262, 482, 52, 631
• GCD of 150, 721, 25, 447
• GCD of 423, 263, 48, 825

Given numbers are 689, 400, 90, 924
The greatest common divisor of numbers 689, 400, 90, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 400, 90, 924 is 1.

1. What is the GCD of 689, 400, 90, 924?

GCD of given numbers 689, 400, 90, 924 is 1

2. How to calculate the greatest common divisor of 689, 400, 90, 924?

We can find the highest common divisor of 689, 400, 90, 924 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 689, 400, 90, 924 i.e 1.

3. How can I use the GCD of 689, 400, 90, 924Calculator?

Out the numbers 689, 400, 90, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.