GCD of 500, 992, 752, 692 Calculator

Given Input numbers are 500, 992, 752, 692

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (500, 992, 752, 692) = 4.

Given numbers are 500, 992, 752, 692

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 500, 992, 752, 692 is 4.

Given numbers are 500, 992, 752, 692

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

Apply this formula for all numbers.

Step1:

LCM(500, 992) = 124000

GCD(500, 992) = ( 500 x 992 ) / 124000

= 500 / 992

= 500

Step2:

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

= 4 / 752

= 4

Step3:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 500, 992, 752, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 760, 677, 655
• GCD of 336, 218, 927, 461
• GCD of 602, 227, 735, 527
• GCD of 649, 752, 538, 682
• GCD of 440, 931, 371, 324

Given numbers are 500, 992, 752, 692
The greatest common divisor of numbers 500, 992, 752, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 992, 752, 692 is 4.

1. What is the GCD of 500, 992, 752, 692?

GCD of given numbers 500, 992, 752, 692 is 4

2. How to calculate the greatest common divisor of 500, 992, 752, 692?

We can find the highest common divisor of 500, 992, 752, 692 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 500, 992, 752, 692 i.e 4.

3. How can I use the GCD of 500, 992, 752, 692Calculator?

Out the numbers 500, 992, 752, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.