GCD of 205, 613, 142, 690 Calculator

Given Input numbers are 205, 613, 142, 690

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (205, 613, 142, 690) = 1.

Given numbers are 205, 613, 142, 690

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 613 are 613

Prime factors of 142 are 2 x 71

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 205, 613, 142, 690

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

Apply this formula for all numbers.

Step1:

LCM(205, 613) = 125665

GCD(205, 613) = ( 205 x 613 ) / 125665

= 205 / 613

= 205

Step2:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 205, 613, 142, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 794, 784, 816
• GCD of 897, 171, 928, 832
• GCD of 524, 401, 173, 842
• GCD of 175, 676, 851, 869
• GCD of 872, 886, 379, 638

Given numbers are 205, 613, 142, 690
The greatest common divisor of numbers 205, 613, 142, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 613, 142, 690 is 1.

1. What is the GCD of 205, 613, 142, 690?

GCD of given numbers 205, 613, 142, 690 is 1

2. How to calculate the greatest common divisor of 205, 613, 142, 690?

We can find the highest common divisor of 205, 613, 142, 690 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 205, 613, 142, 690 i.e 1.

3. How can I use the GCD of 205, 613, 142, 690Calculator?

Out the numbers 205, 613, 142, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.