GCD of 242, 240, 355, 823 Calculator

Given Input numbers are 242, 240, 355, 823

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (242, 240, 355, 823) = 1.

Given numbers are 242, 240, 355, 823

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 355 are 5 x 71

Prime factors of 823 are 823

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

Given numbers are 242, 240, 355, 823

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

Apply this formula for all numbers.

Step1:

LCM(242, 240) = 29040

GCD(242, 240) = ( 242 x 240 ) / 29040

= 242 / 240

= 242

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 242, 240, 355, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 135, 481, 243
• GCD of 180, 472, 897, 653
• GCD of 184, 815, 562, 953
• GCD of 958, 391, 485, 921
• GCD of 147, 482, 327, 942

Given numbers are 242, 240, 355, 823
The greatest common divisor of numbers 242, 240, 355, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 240, 355, 823 is 1.

1. What is the GCD of 242, 240, 355, 823?

GCD of given numbers 242, 240, 355, 823 is 1

2. How to calculate the greatest common divisor of 242, 240, 355, 823?

We can find the highest common divisor of 242, 240, 355, 823 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, 240, 355, 823 i.e 1.

3. How can I use the GCD of 242, 240, 355, 823Calculator?

Out the numbers 242, 240, 355, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.