GCD of 580, 780, 758, 150 Calculator

Given Input numbers are 580, 780, 758, 150

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (580, 780, 758, 150) = 2.

Given numbers are 580, 780, 758, 150

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 758 are 2 x 379

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 580, 780, 758, 150 is 2.

Given numbers are 580, 780, 758, 150

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

Apply this formula for all numbers.

Step1:

LCM(580, 780) = 22620

GCD(580, 780) = ( 580 x 780 ) / 22620

= 580 / 780

= 580

Step2:

LCM(20, 758) = 7580

GCD(20, 758) = ( 20 x 758 ) / 7580

= 20 / 758

= 20

Step3:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

So, Greatest Common Divisor of 580, 780, 758, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 896, 473, 832
• GCD of 765, 601, 430, 824
• GCD of 845, 216, 383, 818
• GCD of 823, 592, 331, 300
• GCD of 112, 951, 159, 456

Given numbers are 580, 780, 758, 150
The greatest common divisor of numbers 580, 780, 758, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 780, 758, 150 is 2.

1. What is the GCD of 580, 780, 758, 150?

GCD of given numbers 580, 780, 758, 150 is 2

2. How to calculate the greatest common divisor of 580, 780, 758, 150?

We can find the highest common divisor of 580, 780, 758, 150 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 580, 780, 758, 150 i.e 2.

3. How can I use the GCD of 580, 780, 758, 150Calculator?

Out the numbers 580, 780, 758, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.