GCD of 589, 749, 490, 875 Calculator

Given Input numbers are 589, 749, 490, 875

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

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

GCD of numbers is the greatest common divisor

So, the GCD (589, 749, 490, 875) = 1.

Given numbers are 589, 749, 490, 875

The list of prime factors of all numbers are

Prime factors of 589 are 19 x 31

Prime factors of 749 are 7 x 107

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 875 are 5 x 5 x 5 x 7

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

Given numbers are 589, 749, 490, 875

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

Apply this formula for all numbers.

Step1:

LCM(589, 749) = 441161

GCD(589, 749) = ( 589 x 749 ) / 441161

= 589 / 749

= 589

Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

Step3:

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

= 1 / 875

= 1

So, Greatest Common Divisor of 589, 749, 490, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 990, 297, 162
• GCD of 691, 950, 871, 551
• GCD of 985, 144, 853, 572
• GCD of 184, 765, 592, 972
• GCD of 826, 878, 525, 404

Given numbers are 589, 749, 490, 875
The greatest common divisor of numbers 589, 749, 490, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 749, 490, 875 is 1.

1. What is the GCD of 589, 749, 490, 875?

GCD of given numbers 589, 749, 490, 875 is 1

2. How to calculate the greatest common divisor of 589, 749, 490, 875?

We can find the highest common divisor of 589, 749, 490, 875 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 589, 749, 490, 875 i.e 1.

3. How can I use the GCD of 589, 749, 490, 875Calculator?

Out the numbers 589, 749, 490, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.