GCD of 242, 492, 866, 600 Calculator

Given Input numbers are 242, 492, 866, 600

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (242, 492, 866, 600) = 2.

Given numbers are 242, 492, 866, 600

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 866 are 2 x 433

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 242, 492, 866, 600 is 2.

Given numbers are 242, 492, 866, 600

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

Apply this formula for all numbers.

Step1:

LCM(242, 492) = 59532

GCD(242, 492) = ( 242 x 492 ) / 59532

= 242 / 492

= 242

Step2:

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

= 2 / 866

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 242, 492, 866, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 132, 390, 569
• GCD of 979, 948, 122, 449
• GCD of 136, 559, 167, 337
• GCD of 924, 747, 376, 595
• GCD of 490, 234, 398, 525

Given numbers are 242, 492, 866, 600
The greatest common divisor of numbers 242, 492, 866, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 492, 866, 600 is 2.

1. What is the GCD of 242, 492, 866, 600?

GCD of given numbers 242, 492, 866, 600 is 2

2. How to calculate the greatest common divisor of 242, 492, 866, 600?

We can find the highest common divisor of 242, 492, 866, 600 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, 492, 866, 600 i.e 2.

3. How can I use the GCD of 242, 492, 866, 600Calculator?

Out the numbers 242, 492, 866, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.