GCD of 585, 250, 140, 138 Calculator

Given Input numbers are 585, 250, 140, 138

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

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 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (585, 250, 140, 138) = 1.

Given numbers are 585, 250, 140, 138

The list of prime factors of all numbers are

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

Prime factors of 250 are 2 x 5 x 5 x 5

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

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 585, 250, 140, 138

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

Apply this formula for all numbers.

Step1:

LCM(585, 250) = 29250

GCD(585, 250) = ( 585 x 250 ) / 29250

= 585 / 250

= 585

Step2:

LCM(5, 140) = 140

GCD(5, 140) = ( 5 x 140 ) / 140

= 5 / 140

= 5

Step3:

LCM(5, 138) = 690

GCD(5, 138) = ( 5 x 138 ) / 690

= 5 / 138

= 5

So, Greatest Common Divisor of 585, 250, 140, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 631, 631, 198
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Given numbers are 585, 250, 140, 138
The greatest common divisor of numbers 585, 250, 140, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 250, 140, 138 is 1.

1. What is the GCD of 585, 250, 140, 138?

GCD of given numbers 585, 250, 140, 138 is 1

2. How to calculate the greatest common divisor of 585, 250, 140, 138?

We can find the highest common divisor of 585, 250, 140, 138 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 585, 250, 140, 138 i.e 1.

3. How can I use the GCD of 585, 250, 140, 138Calculator?

Out the numbers 585, 250, 140, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.