GCD of 242, 378, 507, 990 Calculator

Given Input numbers are 242, 378, 507, 990

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (242, 378, 507, 990) = 1.

Given numbers are 242, 378, 507, 990

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 507 are 3 x 13 x 13

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 242, 378, 507, 990

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

Apply this formula for all numbers.

Step1:

LCM(242, 378) = 45738

GCD(242, 378) = ( 242 x 378 ) / 45738

= 242 / 378

= 242

Step2:

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

= 2 / 507

= 2

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 242, 378, 507, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 135, 168, 955
• GCD of 502, 990, 458, 150
• GCD of 403, 233, 373, 450
• GCD of 269, 433, 410, 540
• GCD of 521, 818, 457, 176

Given numbers are 242, 378, 507, 990
The greatest common divisor of numbers 242, 378, 507, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 378, 507, 990 is 1.

1. What is the GCD of 242, 378, 507, 990?

GCD of given numbers 242, 378, 507, 990 is 1

2. How to calculate the greatest common divisor of 242, 378, 507, 990?

We can find the highest common divisor of 242, 378, 507, 990 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, 378, 507, 990 i.e 1.

3. How can I use the GCD of 242, 378, 507, 990Calculator?

Out the numbers 242, 378, 507, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.