GCD of 580, 300, 756, 202 Calculator

Given Input numbers are 580, 300, 756, 202

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (580, 300, 756, 202) = 2.

Given numbers are 580, 300, 756, 202

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 202 are 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 580, 300, 756, 202 is 2.

Given numbers are 580, 300, 756, 202

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

Apply this formula for all numbers.

Step1:

LCM(580, 300) = 8700

GCD(580, 300) = ( 580 x 300 ) / 8700

= 580 / 300

= 580

Step2:

LCM(20, 756) = 3780

GCD(20, 756) = ( 20 x 756 ) / 3780

= 20 / 756

= 20

Step3:

LCM(4, 202) = 404

GCD(4, 202) = ( 4 x 202 ) / 404

= 4 / 202

= 4

So, Greatest Common Divisor of 580, 300, 756, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 835, 708, 485
• GCD of 547, 905, 890, 938
• GCD of 686, 901, 463, 368
• GCD of 450, 344, 824, 202
• GCD of 308, 611, 353, 745

Given numbers are 580, 300, 756, 202
The greatest common divisor of numbers 580, 300, 756, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 300, 756, 202 is 2.

1. What is the GCD of 580, 300, 756, 202?

GCD of given numbers 580, 300, 756, 202 is 2

2. How to calculate the greatest common divisor of 580, 300, 756, 202?

We can find the highest common divisor of 580, 300, 756, 202 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, 300, 756, 202 i.e 2.

3. How can I use the GCD of 580, 300, 756, 202Calculator?

Out the numbers 580, 300, 756, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.