GCD of 500, 742, 932, 464 Calculator

Given Input numbers are 500, 742, 932, 464

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (500, 742, 932, 464) = 2.

Given numbers are 500, 742, 932, 464

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 742 are 2 x 7 x 53

Prime factors of 932 are 2 x 2 x 233

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 500, 742, 932, 464 is 2.

Given numbers are 500, 742, 932, 464

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

Apply this formula for all numbers.

Step1:

LCM(500, 742) = 185500

GCD(500, 742) = ( 500 x 742 ) / 185500

= 500 / 742

= 500

Step2:

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

= 2 / 932

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 500, 742, 932, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 760, 132, 624
• GCD of 808, 609, 978, 926
• GCD of 734, 159, 256, 728
• GCD of 531, 673, 790, 483
• GCD of 300, 527, 600, 412

Given numbers are 500, 742, 932, 464
The greatest common divisor of numbers 500, 742, 932, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 742, 932, 464 is 2.

1. What is the GCD of 500, 742, 932, 464?

GCD of given numbers 500, 742, 932, 464 is 2

2. How to calculate the greatest common divisor of 500, 742, 932, 464?

We can find the highest common divisor of 500, 742, 932, 464 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, 742, 932, 464 i.e 2.

3. How can I use the GCD of 500, 742, 932, 464Calculator?

Out the numbers 500, 742, 932, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.