GCD of 580, 142, 978, 300 Calculator

Given Input numbers are 580, 142, 978, 300

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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

GCD of numbers is the greatest common divisor

So, the GCD (580, 142, 978, 300) = 2.

Given numbers are 580, 142, 978, 300

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 978 are 2 x 3 x 163

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

The highest common occurrence is 2¹

Therefore, GCD of 580, 142, 978, 300 is 2.

Given numbers are 580, 142, 978, 300

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

Apply this formula for all numbers.

Step1:

LCM(580, 142) = 41180

GCD(580, 142) = ( 580 x 142 ) / 41180

= 580 / 142

= 580

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 580, 142, 978, 300 is 2

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Given numbers are 580, 142, 978, 300
The greatest common divisor of numbers 580, 142, 978, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 142, 978, 300 is 2.

1. What is the GCD of 580, 142, 978, 300?

GCD of given numbers 580, 142, 978, 300 is 2

2. How to calculate the greatest common divisor of 580, 142, 978, 300?

We can find the highest common divisor of 580, 142, 978, 300 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, 142, 978, 300 i.e 2.

3. How can I use the GCD of 580, 142, 978, 300Calculator?

Out the numbers 580, 142, 978, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.