GCD of 585, 164, 74, 980 Calculator

Given Input numbers are 585, 164, 74, 980

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (585, 164, 74, 980) = 1.

Given numbers are 585, 164, 74, 980

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 164 are 2 x 2 x 41

Prime factors of 74 are 2 x 37

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 585, 164, 74, 980

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

Apply this formula for all numbers.

Step1:

LCM(585, 164) = 95940

GCD(585, 164) = ( 585 x 164 ) / 95940

= 585 / 164

= 585

Step2:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 585, 164, 74, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 938, 61, 295
• GCD of 149, 890, 96, 652
• GCD of 977, 446, 69, 375
• GCD of 616, 808, 33, 409
• GCD of 854, 290, 41, 248

Given numbers are 585, 164, 74, 980
The greatest common divisor of numbers 585, 164, 74, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 164, 74, 980 is 1.

1. What is the GCD of 585, 164, 74, 980?

GCD of given numbers 585, 164, 74, 980 is 1

2. How to calculate the greatest common divisor of 585, 164, 74, 980?

We can find the highest common divisor of 585, 164, 74, 980 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 585, 164, 74, 980 i.e 1.

3. How can I use the GCD of 585, 164, 74, 980Calculator?

Out the numbers 585, 164, 74, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.