GCD of 690, 600, 580, 372 Calculator

Given Input numbers are 690, 600, 580, 372

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

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (690, 600, 580, 372) = 2.

Given numbers are 690, 600, 580, 372

The list of prime factors of all numbers are

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 690, 600, 580, 372 is 2.

Given numbers are 690, 600, 580, 372

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

Apply this formula for all numbers.

Step1:

LCM(690, 600) = 13800

GCD(690, 600) = ( 690 x 600 ) / 13800

= 690 / 600

= 690

Step2:

LCM(30, 580) = 1740

GCD(30, 580) = ( 30 x 580 ) / 1740

= 30 / 580

= 30

Step3:

LCM(10, 372) = 1860

GCD(10, 372) = ( 10 x 372 ) / 1860

= 10 / 372

= 10

So, Greatest Common Divisor of 690, 600, 580, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 124, 207, 332
• GCD of 676, 305, 248, 358
• GCD of 233, 618, 742, 423
• GCD of 811, 878, 658, 964
• GCD of 972, 162, 557, 705

Given numbers are 690, 600, 580, 372
The greatest common divisor of numbers 690, 600, 580, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 600, 580, 372 is 2.

1. What is the GCD of 690, 600, 580, 372?

GCD of given numbers 690, 600, 580, 372 is 2

2. How to calculate the greatest common divisor of 690, 600, 580, 372?

We can find the highest common divisor of 690, 600, 580, 372 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 690, 600, 580, 372 i.e 2.

3. How can I use the GCD of 690, 600, 580, 372Calculator?

Out the numbers 690, 600, 580, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.