GCD of 225, 689, 242, 513 Calculator

Given Input numbers are 225, 689, 242, 513

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (225, 689, 242, 513) = 1.

Given numbers are 225, 689, 242, 513

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 689 are 13 x 53

Prime factors of 242 are 2 x 11 x 11

Prime factors of 513 are 3 x 3 x 3 x 19

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

Given numbers are 225, 689, 242, 513

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

Apply this formula for all numbers.

Step1:

LCM(225, 689) = 155025

GCD(225, 689) = ( 225 x 689 ) / 155025

= 225 / 689

= 225

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

So, Greatest Common Divisor of 225, 689, 242, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 219, 139, 482
• GCD of 812, 611, 891, 478
• GCD of 304, 287, 464, 931
• GCD of 243, 898, 386, 778
• GCD of 851, 883, 338, 140

Given numbers are 225, 689, 242, 513
The greatest common divisor of numbers 225, 689, 242, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 689, 242, 513 is 1.

1. What is the GCD of 225, 689, 242, 513?

GCD of given numbers 225, 689, 242, 513 is 1

2. How to calculate the greatest common divisor of 225, 689, 242, 513?

We can find the highest common divisor of 225, 689, 242, 513 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 225, 689, 242, 513 i.e 1.

3. How can I use the GCD of 225, 689, 242, 513Calculator?

Out the numbers 225, 689, 242, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.