GCD of 580, 240, 378, 820 Calculator

Given Input numbers are 580, 240, 378, 820

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (580, 240, 378, 820) = 2.

Given numbers are 580, 240, 378, 820

The list of prime factors of all numbers are

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 580, 240, 378, 820 is 2.

Given numbers are 580, 240, 378, 820

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

Apply this formula for all numbers.

Step1:

LCM(580, 240) = 6960

GCD(580, 240) = ( 580 x 240 ) / 6960

= 580 / 240

= 580

Step2:

LCM(20, 378) = 3780

GCD(20, 378) = ( 20 x 378 ) / 3780

= 20 / 378

= 20

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 580, 240, 378, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 713, 432, 281
• GCD of 778, 617, 163, 550
• GCD of 988, 641, 402, 386
• GCD of 750, 110, 644, 984
• GCD of 896, 357, 541, 436

Given numbers are 580, 240, 378, 820
The greatest common divisor of numbers 580, 240, 378, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 240, 378, 820 is 2.

1. What is the GCD of 580, 240, 378, 820?

GCD of given numbers 580, 240, 378, 820 is 2

2. How to calculate the greatest common divisor of 580, 240, 378, 820?

We can find the highest common divisor of 580, 240, 378, 820 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, 240, 378, 820 i.e 2.

3. How can I use the GCD of 580, 240, 378, 820Calculator?

Out the numbers 580, 240, 378, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.