GCD of 980, 590, 348, 582 Calculator

Given Input numbers are 980, 590, 348, 582

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

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

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (980, 590, 348, 582) = 2.

Given numbers are 980, 590, 348, 582

The list of prime factors of all numbers are

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

Prime factors of 590 are 2 x 5 x 59

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 2¹

Therefore, GCD of 980, 590, 348, 582 is 2.

Given numbers are 980, 590, 348, 582

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

Apply this formula for all numbers.

Step1:

LCM(980, 590) = 57820

GCD(980, 590) = ( 980 x 590 ) / 57820

= 980 / 590

= 980

Step2:

LCM(10, 348) = 1740

GCD(10, 348) = ( 10 x 348 ) / 1740

= 10 / 348

= 10

Step3:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

So, Greatest Common Divisor of 980, 590, 348, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 436, 406, 275
• GCD of 974, 800, 696, 117
• GCD of 825, 418, 286, 590
• GCD of 345, 772, 497, 276
• GCD of 118, 955, 331, 579

Given numbers are 980, 590, 348, 582
The greatest common divisor of numbers 980, 590, 348, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 590, 348, 582 is 2.

1. What is the GCD of 980, 590, 348, 582?

GCD of given numbers 980, 590, 348, 582 is 2

2. How to calculate the greatest common divisor of 980, 590, 348, 582?

We can find the highest common divisor of 980, 590, 348, 582 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 980, 590, 348, 582 i.e 2.

3. How can I use the GCD of 980, 590, 348, 582Calculator?

Out the numbers 980, 590, 348, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.