GCD of 788, 692, 924, 800 Calculator

Given Input numbers are 788, 692, 924, 800

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (788, 692, 924, 800) = 4.

Given numbers are 788, 692, 924, 800

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 692 are 2 x 2 x 173

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

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 788, 692, 924, 800 is 4.

Given numbers are 788, 692, 924, 800

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

Apply this formula for all numbers.

Step1:

LCM(788, 692) = 136324

GCD(788, 692) = ( 788 x 692 ) / 136324

= 788 / 692

= 788

Step2:

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

= 4 / 924

= 4

Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 788, 692, 924, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 649, 619, 535
• GCD of 929, 526, 365, 841
• GCD of 431, 980, 378, 517
• GCD of 108, 763, 325, 316
• GCD of 993, 215, 336, 482

Given numbers are 788, 692, 924, 800
The greatest common divisor of numbers 788, 692, 924, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 692, 924, 800 is 4.

1. What is the GCD of 788, 692, 924, 800?

GCD of given numbers 788, 692, 924, 800 is 4

2. How to calculate the greatest common divisor of 788, 692, 924, 800?

We can find the highest common divisor of 788, 692, 924, 800 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 788, 692, 924, 800 i.e 4.

3. How can I use the GCD of 788, 692, 924, 800Calculator?

Out the numbers 788, 692, 924, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.