GCD of 242, 450, 130, 591 Calculator

Given Input numbers are 242, 450, 130, 591

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

GCD of numbers is the greatest common divisor

So, the GCD (242, 450, 130, 591) = 1.

Given numbers are 242, 450, 130, 591

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 130 are 2 x 5 x 13

Prime factors of 591 are 3 x 197

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

Given numbers are 242, 450, 130, 591

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

Apply this formula for all numbers.

Step1:

LCM(242, 450) = 54450

GCD(242, 450) = ( 242 x 450 ) / 54450

= 242 / 450

= 242

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

Step3:

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

= 2 / 591

= 2

So, Greatest Common Divisor of 242, 450, 130, 591 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 162, 292, 614
• GCD of 342, 864, 420, 124
• GCD of 275, 504, 491, 282
• GCD of 998, 931, 248, 539
• GCD of 852, 150, 486, 827

Given numbers are 242, 450, 130, 591
The greatest common divisor of numbers 242, 450, 130, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 450, 130, 591 is 1.

1. What is the GCD of 242, 450, 130, 591?

GCD of given numbers 242, 450, 130, 591 is 1

2. How to calculate the greatest common divisor of 242, 450, 130, 591?

We can find the highest common divisor of 242, 450, 130, 591 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, 450, 130, 591 i.e 1.

3. How can I use the GCD of 242, 450, 130, 591Calculator?

Out the numbers 242, 450, 130, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.