GCD of 980, 917, 583, 659 Calculator

Given Input numbers are 980, 917, 583, 659

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 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

GCD of numbers is the greatest common divisor

So, the GCD (980, 917, 583, 659) = 1.

Given numbers are 980, 917, 583, 659

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 917 are 7 x 131

Prime factors of 583 are 11 x 53

Prime factors of 659 are 659

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

Given numbers are 980, 917, 583, 659

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

Apply this formula for all numbers.

Step1:

LCM(980, 917) = 128380

GCD(980, 917) = ( 980 x 917 ) / 128380

= 980 / 917

= 980

Step2:

LCM(7, 583) = 4081

GCD(7, 583) = ( 7 x 583 ) / 4081

= 7 / 583

= 7

Step3:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1

So, Greatest Common Divisor of 980, 917, 583, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 108, 488, 238
• GCD of 317, 180, 505, 515
• GCD of 744, 596, 503, 795
• GCD of 449, 179, 950, 605
• GCD of 698, 379, 820, 376

Given numbers are 980, 917, 583, 659
The greatest common divisor of numbers 980, 917, 583, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 917, 583, 659 is 1.

1. What is the GCD of 980, 917, 583, 659?

GCD of given numbers 980, 917, 583, 659 is 1

2. How to calculate the greatest common divisor of 980, 917, 583, 659?

We can find the highest common divisor of 980, 917, 583, 659 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, 917, 583, 659 i.e 1.

3. How can I use the GCD of 980, 917, 583, 659Calculator?

Out the numbers 980, 917, 583, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.