GCD of 140, 225, 585, 206 Calculator

Given Input numbers are 140, 225, 585, 206

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

GCD of numbers is the greatest common divisor

So, the GCD (140, 225, 585, 206) = 1.

Given numbers are 140, 225, 585, 206

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

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

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 206 are 2 x 103

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

Given numbers are 140, 225, 585, 206

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

Apply this formula for all numbers.

Step1:

LCM(140, 225) = 6300

GCD(140, 225) = ( 140 x 225 ) / 6300

= 140 / 225

= 140

Step2:

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

= 5 / 585

= 5

Step3:

LCM(5, 206) = 1030

GCD(5, 206) = ( 5 x 206 ) / 1030

= 5 / 206

= 5

So, Greatest Common Divisor of 140, 225, 585, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 368, 751, 455
• GCD of 139, 933, 508, 168
• GCD of 361, 525, 933, 634
• GCD of 723, 825, 768, 449
• GCD of 701, 878, 953, 690

Given numbers are 140, 225, 585, 206
The greatest common divisor of numbers 140, 225, 585, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 225, 585, 206 is 1.

1. What is the GCD of 140, 225, 585, 206?

GCD of given numbers 140, 225, 585, 206 is 1

2. How to calculate the greatest common divisor of 140, 225, 585, 206?

We can find the highest common divisor of 140, 225, 585, 206 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 140, 225, 585, 206 i.e 1.

3. How can I use the GCD of 140, 225, 585, 206Calculator?

Out the numbers 140, 225, 585, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.