GCD of 242, 332, 364, 500 Calculator

Given Input numbers are 242, 332, 364, 500

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

GCD of numbers is the greatest common divisor

So, the GCD (242, 332, 364, 500) = 2.

Given numbers are 242, 332, 364, 500

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 332 are 2 x 2 x 83

Prime factors of 364 are 2 x 2 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 242, 332, 364, 500 is 2.

Given numbers are 242, 332, 364, 500

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

Apply this formula for all numbers.

Step1:

LCM(242, 332) = 40172

GCD(242, 332) = ( 242 x 332 ) / 40172

= 242 / 332

= 242

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 242, 332, 364, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 375, 600, 618
• GCD of 689, 426, 367, 739
• GCD of 448, 832, 464, 623
• GCD of 542, 465, 614, 298
• GCD of 922, 731, 778, 670

Given numbers are 242, 332, 364, 500
The greatest common divisor of numbers 242, 332, 364, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 332, 364, 500 is 2.

1. What is the GCD of 242, 332, 364, 500?

GCD of given numbers 242, 332, 364, 500 is 2

2. How to calculate the greatest common divisor of 242, 332, 364, 500?

We can find the highest common divisor of 242, 332, 364, 500 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 242, 332, 364, 500 i.e 2.

3. How can I use the GCD of 242, 332, 364, 500Calculator?

Out the numbers 242, 332, 364, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.